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42959532 = 223711192447
BaseRepresentation
bin1010001111100…
…0001010101100
32222211120101210
42203320022230
541444201112
64132434420
71031102310
oct243701254
988746353
1042959532
1122282150
1212478a10
138b91955
1459c3b40
153b88b3c
hex28f82ac

42959532 has 96 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 10566720.

The previous prime is 42959509. The next prime is 42959599. The reversal of 42959532 is 23595924.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16333 + ... + 18779.

It is an arithmetic number, because the mean of its divisors is an integer number (1370880).

Almost surely, 242959532 is an apocalyptic number.

42959532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42959532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

42959532 is an abundant number, since it is smaller than the sum of its proper divisors (88644948).

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

42959532 is a wasteful number, since it uses less digits than its factorization.

42959532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2489 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 42959532 is about 6554.3521418978. The cubic root of 42959532 is about 350.2298680451.

The spelling of 42959532 in words is "forty-two million, nine hundred fifty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2447 2508 2926 4389 4894 5852 7341 8778 9788 14682 17129 17556 26917 29364 34258 46493 51387 53834 68516 80751 92986 102774 107668 139479 161502 185972 188419 205548 278958 323004 325451 376838 511423 557916 565257 650902 753676 976353 1022846 1130514 1301804 1534269 1952706 2045692 2261028 3068538 3579961 3905412 6137076 7159922 10739883 14319844 21479766 42959532