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1000474056 = 2332231514001
BaseRepresentation
bin111011101000100…
…000010111001000
32120201120100101200
4323220200113020
54022110132211
6243135344200
733535613661
oct7350402710
92521510350
101000474056
11473817a6a
1223b082060
1312c374baa
1496c32368
155cc76b56
hex3ba205c8

1000474056 has 96 divisors (see below), whose sum is σ = 2846862720. Its totient is φ = 316800000.

The previous prime is 1000474039. The next prime is 1000474063. The reversal of 1000474056 is 6504740001.

It is a super-2 number, since 2×10004740562 = 2001896673458182272, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 248056 + ... + 252056.

It is an arithmetic number, because the mean of its divisors is an integer number (29654820).

Almost surely, 21000474056 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 1000474056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423431360).

1000474056 is an abundant number, since it is smaller than the sum of its proper divisors (1846388664).

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

1000474056 is a wasteful number, since it uses less digits than its factorization.

1000474056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1000474056 is about 31630.2711970669. The cubic root of 1000474056 is about 1000.1579937033.

The spelling of 1000474056 in words is "one billion, four hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 151 184 207 276 302 414 453 552 604 828 906 1208 1359 1656 1812 2718 3473 3624 4001 5436 6946 8002 10419 10872 12003 13892 16004 20838 24006 27784 31257 32008 36009 41676 48012 62514 72018 83352 92023 96024 125028 144036 184046 250056 276069 288072 368092 552138 604151 736184 828207 1104276 1208302 1656414 1812453 2208552 2416604 3312828 3624906 4833208 5437359 6625656 7249812 10874718 13895473 14499624 21749436 27790946 41686419 43498872 55581892 83372838 111163784 125059257 166745676 250118514 333491352 500237028 1000474056