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2042857476 = 22331111031559
BaseRepresentation
bin111100111000011…
…1000100000000100
312021100222220122000
41321300320200010
513140432414401
6534413305300
7101424000462
oct17160704004
95240886560
102042857476
1195915a070
12490195230
1326730170a
14155453832
15be52b186
hex79c38804

2042857476 has 96 divisors (see below), whose sum is σ = 5786726400. Its totient is φ = 618089760.

The previous prime is 2042857463. The next prime is 2042857489. The reversal of 2042857476 is 6747582402.

It is a happy number.

2042857476 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 8 + 574 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (2042857463) and next prime (2042857489).

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, 1309585 + ... + 1311143.

It is an arithmetic number, because the mean of its divisors is an integer number (60278400).

Almost surely, 22042857476 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 2042857476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893363200).

2042857476 is an abundant number, since it is smaller than the sum of its proper divisors (3743868924).

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

2042857476 is a wasteful number, since it uses less digits than its factorization.

2042857476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2042857476 is about 45197.9808841059. The cubic root of 2042857476 is about 1268.8570277480.

The spelling of 2042857476 in words is "two billion, forty-two million, eight hundred fifty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1103 1188 1559 2206 3118 3309 4412 4677 6236 6618 9354 9927 12133 13236 14031 17149 18708 19854 24266 28062 29781 34298 36399 39708 42093 48532 51447 56124 59562 68596 72798 84186 102894 109197 119124 145596 154341 168372 205788 218394 308682 327591 436788 463023 617364 655182 926046 1310364 1719577 1852092 3439154 5158731 6878308 10317462 15476193 18915347 20634924 30952386 37830694 46428579 56746041 61904772 75661388 92857158 113492082 170238123 185714316 226984164 340476246 510714369 680952492 1021428738 2042857476