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427501152 = 2535134229
BaseRepresentation
bin11001011110110…
…010011001100000
31002210102022100000
4121132302121200
51333420014102
6110230500000
713410462021
oct3136623140
91083368300
10427501152
111aa349a41
12bb204600
136a750080
1440ac2c48
15277e701c
hex197b2660

427501152 has 144 divisors (see below), whose sum is σ = 1358033040. Its totient is φ = 131507712.

The previous prime is 427501147. The next prime is 427501157. The reversal of 427501152 is 251105724.

427501152 is a `hidden beast` number, since 4 + 2 + 7 + 501 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (427501147) and next prime (427501157).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4275011522 = 365514469922654208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427501157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98974 + ... + 103202.

It is an arithmetic number, because the mean of its divisors is an integer number (9430785).

Almost surely, 2427501152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679016520).

427501152 is an abundant number, since it is smaller than the sum of its proper divisors (930531888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427501152 is a wasteful number, since it uses less digits than its factorization.

427501152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 427501152 is about 20676.1009864046. The cubic root of 427501152 is about 753.3193039564.

Adding to 427501152 its reverse (251105724), we get a palindrome (678606876).

The spelling of 427501152 in words is "four hundred twenty-seven million, five hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 4229 5616 6318 7776 8424 8458 11232 12636 12687 16848 16916 25272 25374 33696 33832 38061 50544 50748 54977 67664 76122 101088 101496 109954 114183 135328 152244 164931 202992 219908 228366 304488 329862 342549 405984 439816 456732 494793 608976 659724 685098 879632 913464 989586 1027647 1217952 1319448 1370196 1484379 1759264 1826928 1979172 2055294 2638896 2740392 2968758 3653856 3958344 4110588 4453137 5277792 5480784 5937516 7916688 8221176 8906274 10961568 11875032 13359411 15833376 16442352 17812548 23750064 26718822 32884704 35625096 47500128 53437644 71250192 106875288 142500384 213750576 427501152