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42156624 = 2435373227
BaseRepresentation
bin1010000011010…
…0001001010000
32221022210000110
42200310021100
541243002444
64103321320
71021216416
oct240641120
987283013
1042156624
1121883994
1212150240
138970363
1458552b6
153a7acb9
hex2834250

42156624 has 80 divisors (see below), whose sum is σ = 112974912. Its totient is φ = 13538304.

The previous prime is 42156619. The next prime is 42156637. The reversal of 42156624 is 42665124.

It is a junction number, because it is equal to n+sod(n) for n = 42156591 and 42156600.

It is a congruent number.

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, 185599 + ... + 185825.

Almost surely, 242156624 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 42156624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56487456).

42156624 is an abundant number, since it is smaller than the sum of its proper divisors (70818288).

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

42156624 is a wasteful number, since it uses less digits than its factorization.

42156624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 42156624 is about 6492.8132577489. The cubic root of 42156624 is about 348.0342151588.

The spelling of 42156624 in words is "forty-two million, one hundred fifty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 73 106 146 159 212 219 227 292 318 424 438 454 584 636 681 848 876 908 1168 1272 1362 1752 1816 2544 2724 3504 3632 3869 5448 7738 10896 11607 12031 15476 16571 23214 24062 30952 33142 36093 46428 48124 49713 61904 66284 72186 92856 96248 99426 132568 144372 185712 192496 198852 265136 288744 397704 577488 795408 878263 1756526 2634789 3513052 5269578 7026104 10539156 14052208 21078312 42156624