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4006831136 = 257211232307
BaseRepresentation
bin1110111011010011…
…0110010000100000
3101100020120010000012
43232310312100200
531201222044021
61501332144052
7201202334300
oct35664662040
911306503005
104006831136
11177682a5a0
12939a68028
134bb173ac9
142a0211600
15186b7435b
hexeed36420

4006831136 has 72 divisors (see below), whose sum is σ = 10010616336. Its totient is φ = 1561096320.

The previous prime is 4006831123. The next prime is 4006831141. The reversal of 4006831136 is 6311386004.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98906 + ... + 133401.

It is an arithmetic number, because the mean of its divisors is an integer number (139036338).

Almost surely, 24006831136 is an apocalyptic number.

It is an amenable number.

4006831136 is an abundant number, since it is smaller than the sum of its proper divisors (6003785200).

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

4006831136 is a wasteful number, since it uses less digits than its factorization.

4006831136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232342 (or 232327 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 4006831136 is about 63299.5350377868. The cubic root of 4006831136 is about 1588.3041840843.

The spelling of 4006831136 in words is "four billion, six million, eight hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 8624 17248 232307 464614 929228 1626149 1858456 2555377 3252298 3716912 5110754 6504596 7433824 10221508 11383043 13009192 17887639 20443016 22766086 26018384 35775278 40886032 45532172 52036768 71550556 81772064 91064344 125213473 143101112 182128688 250426946 286202224 364257376 500853892 572404448 1001707784 2003415568 4006831136