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463028148 = 2232113593257
BaseRepresentation
bin11011100110010…
…011111110110100
31012021021021012200
4123212103332310
51422013400043
6113540144500
714321450202
oct3346237664
91167237180
10463028148
112184049a0
1210b098130
1374c0b96b
14456d0072
152a9b37d3
hex1b993fb4

463028148 has 72 divisors (see below), whose sum is σ = 1280784960. Its totient is φ = 139877760.

The previous prime is 463028131. The next prime is 463028149. The reversal of 463028148 is 841820364.

463028148 is a `hidden beast` number, since 4 + 630 + 2 + 8 + 14 + 8 = 666.

It is a super-3 number, since 3×4630281483 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463028149) 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, 140536 + ... + 143792.

It is an arithmetic number, because the mean of its divisors is an integer number (17788680).

Almost surely, 2463028148 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 463028148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640392480).

463028148 is an abundant number, since it is smaller than the sum of its proper divisors (817756812).

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

463028148 is a wasteful number, since it uses less digits than its factorization.

463028148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 463028148 is about 21518.0888556582. The cubic root of 463028148 is about 773.6344446884.

The spelling of 463028148 in words is "four hundred sixty-three million, twenty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 359 396 718 1077 1436 2154 3231 3257 3949 4308 6462 6514 7898 9771 11847 12924 13028 15796 19542 23694 29313 35541 35827 39084 47388 58626 71082 71654 107481 117252 142164 143308 214962 322443 429924 644886 1169263 1289772 2338526 3507789 4677052 7015578 10523367 12861893 14031156 21046734 25723786 38585679 42093468 51447572 77171358 115757037 154342716 231514074 463028148