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42392832 = 283172191
BaseRepresentation
bin1010000110110…
…1110100000000
32221202210000220
42201231310000
541323032312
64112343040
71023222156
oct241556400
987683026
1042392832
1121a253a9
1212244a80
138a23a21
1458b73d6
153ac5c8c
hex286dd00

42392832 has 108 divisors (see below), whose sum is σ = 120481536. Its totient is φ = 13230080.

The previous prime is 42392827. The next prime is 42392891. The reversal of 42392832 is 23829324.

It is a junction number, because it is equal to n+sod(n) for n = 42392793 and 42392802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221857 + ... + 222047.

Almost surely, 242392832 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 42392832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60240768).

42392832 is an abundant number, since it is smaller than the sum of its proper divisors (78088704).

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

42392832 is a wasteful number, since it uses less digits than its factorization.

42392832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 213 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 42392832 is about 6510.9778067507. The cubic root of 42392832 is about 348.6830289820.

The spelling of 42392832 in words is "forty-two million, three hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 191 192 204 256 272 289 382 384 408 544 573 578 764 768 816 867 1088 1146 1156 1528 1632 1734 2176 2292 2312 3056 3247 3264 3468 4352 4584 4624 6112 6494 6528 6936 9168 9248 9741 12224 12988 13056 13872 18336 18496 19482 24448 25976 27744 36672 36992 38964 48896 51952 55199 55488 73344 73984 77928 103904 110398 110976 146688 155856 165597 207808 220796 221952 311712 331194 415616 441592 623424 662388 831232 883184 1246848 1324776 1766368 2493696 2649552 3532736 5299104 7065472 10598208 14130944 21196416 42392832