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3685893904 = 2471119532971
BaseRepresentation
bin1101101110110010…
…0100011100010000
3100111212122210220001
43123230210130100
530022042101104
61405425255344
7160224403240
oct33354443420
910455583801
103685893904
111621655710
1286a494554
13469825114
1426d74bb20
151688cbaa4
hexdbb24710

3685893904 has 160 divisors (see below), whose sum is σ = 9552245760. Its totient is φ = 1334361600.

The previous prime is 3685893857. The next prime is 3685893917. The reversal of 3685893904 is 4093985863.

It is a super-2 number, since 2×36858939042 = 27171627743088722432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239139 + ... + 1242109.

It is an arithmetic number, because the mean of its divisors is an integer number (59701536).

Almost surely, 23685893904 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 3685893904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776122880).

3685893904 is an abundant number, since it is smaller than the sum of its proper divisors (5866351856).

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

3685893904 is a wasteful number, since it uses less digits than its factorization.

3685893904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The square root of 3685893904 is about 60711.5631819837. The cubic root of 3685893904 is about 1544.7123190903.

The spelling of 3685893904 in words is "three billion, six hundred eighty-five million, eight hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 53 56 76 77 88 106 112 133 152 154 176 209 212 266 304 308 371 418 424 532 583 616 742 836 848 1007 1064 1166 1232 1463 1484 1672 2014 2128 2332 2926 2968 2971 3344 4028 4081 4664 5852 5936 5942 7049 8056 8162 9328 11077 11704 11884 14098 16112 16324 20797 22154 23408 23768 28196 32648 32681 41594 44308 47536 56392 56449 65296 65362 77539 83188 88616 112784 112898 130724 155078 157463 166376 177232 225796 228767 261448 310156 314926 332752 395143 451592 457534 522896 620312 620939 629852 790286 903184 915068 1102241 1240624 1241878 1259704 1580572 1732093 1830136 2204482 2483756 2519408 2991797 3161144 3464186 3660272 4346573 4408964 4967512 5983594 6322288 6928372 8693146 8817928 9935024 11967188 12124651 13856744 17386292 17635856 20942579 23934376 24249302 27713488 32909767 34772584 41885158 47868752 48498604 65819534 69545168 83770316 96997208 131639068 167540632 193994416 230368369 263278136 335081264 460736738 526556272 921473476 1842946952 3685893904