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3722639904 = 253319226769
BaseRepresentation
bin1101110111100010…
…1111101000100000
3100121102210200221000
43131320233220200
530110443434104
61413221032000
7161151626364
oct33570575040
910542720830
103722639904
111640373505
1287a855600
1347431c809
142745952a4
1516bc39639
hexdde2fa20

3722639904 has 96 divisors (see below), whose sum is σ = 11429208000. Its totient is φ = 1175565312.

The previous prime is 3722639827. The next prime is 3722639933. The reversal of 3722639904 is 4099362273.

3722639904 is a `hidden beast` number, since 3 + 7 + 2 + 2 + 639 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3722639904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96969 + ... + 129800.

It is an arithmetic number, because the mean of its divisors is an integer number (119054250).

Almost surely, 23722639904 is an apocalyptic number.

It is an amenable number.

3722639904 is an abundant number, since it is smaller than the sum of its proper divisors (7706568096).

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

3722639904 is a wasteful number, since it uses less digits than its factorization.

3722639904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226807 (or 226793 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3722639904 is about 61013.4403553840. The cubic root of 3722639904 is about 1549.8286184429.

The spelling of 3722639904 in words is "three billion, seven hundred twenty-two million, six hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 226769 453538 680307 907076 1360614 1814152 2040921 2721228 3628304 4081842 4308611 5442456 6122763 7256608 8163684 8617222 10884912 12245526 12925833 16327368 17234444 21769824 24491052 25851666 32654736 34468888 38777499 48982104 51703332 65309472 68937776 77554998 97964208 103406664 116332497 137875552 155109996 195928416 206813328 232664994 310219992 413626656 465329988 620439984 930659976 1240879968 1861319952 3722639904