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2042857632 = 253174726633
BaseRepresentation
bin111100111000011…
…1000100010100000
312021100222220211210
41321300320202200
513140432421012
6534413310120
7101424001104
oct17160704240
95240886753
102042857632
1195915a1a2
12490195340
132673017ca
14155453904
15be52b23c
hex79c388a0

2042857632 has 96 divisors (see below), whose sum is σ = 5798967552. Its totient is φ = 627236864.

The previous prime is 2042857601. The next prime is 2042857633. The reversal of 2042857632 is 2367582402.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2042857633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63388 + ... + 90020.

It is an arithmetic number, because the mean of its divisors is an integer number (60405912).

Almost surely, 22042857632 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 2042857632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899483776).

2042857632 is an abundant number, since it is smaller than the sum of its proper divisors (3756109920).

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

2042857632 is a wasteful number, since it uses less digits than its factorization.

2042857632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26710 (or 26702 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2042857632 is about 45197.9826098466. The cubic root of 2042857632 is about 1268.8570600462.

The spelling of 2042857632 in words is "two billion, forty-two million, eight hundred fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 188 204 272 282 376 408 544 564 752 799 816 1128 1504 1598 1632 2256 2397 3196 4512 4794 6392 9588 12784 19176 25568 26633 38352 53266 76704 79899 106532 159798 213064 319596 426128 452761 639192 852256 905522 1251751 1278384 1358283 1811044 2503502 2556768 2716566 3622088 3755253 5007004 5433132 7244176 7510506 10014008 10866264 14488352 15021012 20028016 21279767 21732528 30042024 40056032 42559534 43465056 60084048 63839301 85119068 120168096 127678602 170238136 255357204 340476272 510714408 680952544 1021428816 2042857632