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3225377856 = 263671571597
BaseRepresentation
bin1100000000111111…
…0101110001000000
322022210010011122010
43000033311301000
523101144042411
61252015012520
7142633154661
oct30017656100
98283104563
103225377856
111405707138
1276020a140
133c52b5a0c
14228513368
1513d2627a6
hexc03f5c40

3225377856 has 112 divisors (see below), whose sum is σ = 8721807296. Its totient is φ = 1051674624.

The previous prime is 3225377807. The next prime is 3225377863. The reversal of 3225377856 is 6587735223.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2018850 + ... + 2020446.

Almost surely, 23225377856 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 3225377856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360903648).

3225377856 is an abundant number, since it is smaller than the sum of its proper divisors (5496429440).

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

3225377856 is a wasteful number, since it uses less digits than its factorization.

3225377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1826 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The square root of 3225377856 is about 56792.4101971381. The cubic root of 3225377856 is about 1477.4978808436.

The spelling of 3225377856 in words is "three billion, two hundred twenty-five million, three hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 157 192 201 268 314 402 471 536 628 804 942 1072 1256 1597 1608 1884 2144 2512 3194 3216 3768 4288 4791 5024 6388 6432 7536 9582 10048 10519 12776 12864 15072 19164 21038 25552 30144 31557 38328 42076 51104 63114 76656 84152 102208 106999 126228 153312 168304 213998 250729 252456 306624 320997 336608 427996 501458 504912 641994 673216 752187 855992 1002916 1009824 1283988 1504374 1711984 2005832 2019648 2567976 3008748 3423968 4011664 5135952 6017496 6847936 8023328 10271904 12034992 16046656 16798843 20543808 24069984 33597686 48139968 50396529 67195372 100793058 134390744 201586116 268781488 403172232 537562976 806344464 1075125952 1612688928 3225377856