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4406136372 = 2233113708869
BaseRepresentation
bin1000001101010000…
…00100111000110100
3102101001220220211000
410012220010320310
533010432330442
62005114443300
7214121353431
oct40650047064
912331826730
104406136372
111961170520
12a2b733530
13552b010b1
142db274b88
151abc4bd4c
hex106a04e34

4406136372 has 48 divisors (see below), whose sum is σ = 12461803200. Its totient is φ = 1335192480.

The previous prime is 4406136367. The next prime is 4406136419. The reversal of 4406136372 is 2736316044.

It is a happy number.

4406136372 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 13 + 637 + 2 = 666.

It is a super-2 number, since 2×44061363722 = 38828075457322644768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1853247 + ... + 1855622.

It is an arithmetic number, because the mean of its divisors is an integer number (259620900).

Almost surely, 24406136372 is an apocalyptic number.

It is an amenable number.

4406136372 is an abundant number, since it is smaller than the sum of its proper divisors (8055666828).

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

4406136372 is a wasteful number, since it uses less digits than its factorization.

4406136372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708893 (or 3708885 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4406136372 is about 66378.7343356289. The cubic root of 4406136372 is about 1639.4039540303.

It can be divided in two parts, 440613 and 6372, that added together give a triangular number (446985 = T945).

The spelling of 4406136372 in words is "four billion, four hundred six million, one hundred thirty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3708869 7417738 11126607 14835476 22253214 33379821 40797559 44506428 66759642 81595118 100139463 122392677 133519284 163190236 200278926 244785354 367178031 400557852 489570708 734356062 1101534093 1468712124 2203068186 4406136372