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42153504 = 253571769
BaseRepresentation
bin1010000011001…
…1011000100000
32221022121201220
42200303120200
541242403004
64103255040
71021204341
oct240633040
987277656
1042153504
1121881608
121214a480
13896bb03
1458540c8
153a79dd9
hex2833620

42153504 has 48 divisors (see below), whose sum is σ = 110990880. Its totient is φ = 14008320.

The previous prime is 42153493. The next prime is 42153541. The reversal of 42153504 is 40535124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54432 + ... + 55200.

It is an arithmetic number, because the mean of its divisors is an integer number (2312310).

Almost surely, 242153504 is an apocalyptic number.

It is an amenable number.

42153504 is an abundant number, since it is smaller than the sum of its proper divisors (68837376).

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

42153504 is a wasteful number, since it uses less digits than its factorization.

42153504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 42153504 is about 6492.5729876529. The cubic root of 42153504 is about 348.0256289752.

Adding to 42153504 its reverse (40535124), we get a palindrome (82688628).

The spelling of 42153504 in words is "forty-two million, one hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 571 769 1142 1538 1713 2284 2307 3076 3426 4568 4614 6152 6852 9136 9228 12304 13704 18272 18456 24608 27408 36912 54816 73824 439099 878198 1317297 1756396 2634594 3512792 5269188 7025584 10538376 14051168 21076752 42153504