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42801576 = 2333157529
BaseRepresentation
bin1010001101000…
…1100110101000
32222112112201120
42203101212220
541424122301
64125215240
71026543636
oct243214650
988475646
1042801576
1122184504
1212401520
138b37a9c
145982356
153b56e36
hex28d19a8

42801576 has 32 divisors (see below), whose sum is σ = 110457600. Its totient is φ = 13806720.

The previous prime is 42801557. The next prime is 42801601. The reversal of 42801576 is 67510824.

42801576 = 92 + 102 + ... + 5042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28021 + ... + 29508.

It is an arithmetic number, because the mean of its divisors is an integer number (3451800).

Almost surely, 242801576 is an apocalyptic number.

It is an amenable number.

42801576 is an abundant number, since it is smaller than the sum of its proper divisors (67656024).

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

42801576 is a wasteful number, since it uses less digits than its factorization.

42801576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57569 (or 57565 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 42801576 is about 6542.2913417242. The cubic root of 42801576 is about 349.8000926446.

The spelling of 42801576 in words is "forty-two million, eight hundred one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 57529 115058 172587 230116 345174 460232 690348 1380696 1783399 3566798 5350197 7133596 10700394 14267192 21400788 42801576