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42811392 = 21431367
BaseRepresentation
bin1010001101010…
…0000000000000
32222120001012010
42203110000000
541424431032
64125332520
71026614361
oct243240000
988501163
1042811392
1122190918
1212407140
138b3c3b0
145985b68
153b59ccc
hex28d4000

42811392 has 120 divisors (see below), whose sum is σ = 124776736. Its totient is φ = 12976128.

The previous prime is 42811277. The next prime is 42811393. The reversal of 42811392 is 29311824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42811393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638943 + ... + 639009.

Almost surely, 242811392 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 42811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62388368).

42811392 is an abundant number, since it is smaller than the sum of its proper divisors (81965344).

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

42811392 is an equidigital number, since it uses as much as digits as its factorization.

42811392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 42811392 is about 6543.0414945956. The cubic root of 42811392 is about 349.8268313427.

The spelling of 42811392 in words is "forty-two million, eight hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 78 96 104 128 134 156 192 201 208 256 268 312 384 402 416 512 536 624 768 804 832 871 1024 1072 1248 1536 1608 1664 1742 2048 2144 2496 2613 3072 3216 3328 3484 4096 4288 4992 5226 6144 6432 6656 6968 8192 8576 9984 10452 12288 12864 13312 13936 16384 17152 19968 20904 24576 25728 26624 27872 34304 39936 41808 49152 51456 53248 55744 68608 79872 83616 102912 106496 111488 137216 159744 167232 205824 212992 222976 274432 319488 334464 411648 445952 548864 638976 668928 823296 891904 1097728 1337856 1646592 1783808 2675712 3293184 3567616 5351424 7135232 10702848 14270464 21405696 42811392