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42425472 = 273176797
BaseRepresentation
bin1010000111010…
…1110010000000
32221211102210210
42201311302000
541330103342
64113154120
71023416265
oct241656200
987742723
1042425472
1121a47981
121225b940
138a3583b
1458c526c
153ad079c
hex2875c80

42425472 has 128 divisors (see below), whose sum is σ = 122351040. Its totient is φ = 12976128.

The previous prime is 42425459. The next prime is 42425491. The reversal of 42425472 is 27452424.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437328 + ... + 437424.

Almost surely, 242425472 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 42425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61175520).

42425472 is an abundant number, since it is smaller than the sum of its proper divisors (79925568).

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

42425472 is a wasteful number, since it uses less digits than its factorization.

42425472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 17920, while the sum is 30.

The square root of 42425472 is about 6513.4838604237. The cubic root of 42425472 is about 348.7724945345.

Adding to 42425472 its reverse (27452424), we get a palindrome (69877896).

The spelling of 42425472 in words is "forty-two million, four hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 67 68 96 97 102 128 134 136 192 194 201 204 268 272 291 384 388 402 408 536 544 582 776 804 816 1072 1088 1139 1164 1552 1608 1632 1649 2144 2176 2278 2328 3104 3216 3264 3298 3417 4288 4556 4656 4947 6208 6432 6499 6528 6596 6834 8576 9112 9312 9894 12416 12864 12998 13192 13668 18224 18624 19497 19788 25728 25996 26384 27336 36448 37248 38994 39576 51992 52768 54672 72896 77988 79152 103984 105536 109344 110483 145792 155976 158304 207968 211072 218688 220966 311952 316608 331449 415936 437376 441932 623904 633216 662898 831872 883864 1247808 1325796 1767728 2495616 2651592 3535456 5303184 7070912 10606368 14141824 21212736 42425472