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3866139904 = 28119411459
BaseRepresentation
bin1110011001110000…
…1001110100000000
3100222102211020220211
43212130021310000
530404212434104
61435344443504
7164543434624
oct34634116400
910872736824
103866139904
111704376150
128ba919594
13497c83c63
1428966b184
15179632e04
hexe6709d00

3866139904 has 72 divisors (see below), whose sum is σ = 8433462240. Its totient is φ = 1754265600.

The previous prime is 3866139883. The next prime is 3866139919. The reversal of 3866139904 is 4099316683.

It is a super-2 number, since 2×38661399042 = 29894075514602258432, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2649127 + ... + 2650585.

It is an arithmetic number, because the mean of its divisors is an integer number (117131420).

Almost surely, 23866139904 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 3866139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216731120).

3866139904 is an abundant number, since it is smaller than the sum of its proper divisors (4567322336).

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

3866139904 is a wasteful number, since it uses less digits than its factorization.

3866139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The square root of 3866139904 is about 62178.2912598923. The cubic root of 3866139904 is about 1569.4922971955.

The spelling of 3866139904 in words is "three billion, eight hundred sixty-six million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 941 1408 1459 1882 2816 2918 3764 5836 7528 10351 11672 15056 16049 20702 23344 30112 32098 41404 46688 60224 64196 82808 93376 120448 128392 165616 186752 240896 256784 331232 373504 513568 662464 1027136 1324928 1372919 2054272 2649856 2745838 4108544 5491676 10983352 15102109 21966704 30204218 43933408 60408436 87866816 120816872 175733632 241633744 351467264 483267488 966534976 1933069952 3866139904