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3213901952 = 27172283307
BaseRepresentation
bin1011111110010000…
…0100000010000000
322021222112010122122
42333210010002000
523040224330302
61250525023412
7142433500352
oct27744040200
98258463578
103213901952
1113aa189118
127583b4b68
133c2ac8441
14226ba70d2
1513c2473a2
hexbf904080

3213901952 has 96 divisors (see below), whose sum is σ = 6847745520. Its totient is φ = 1502171136.

The previous prime is 3213901921. The next prime is 3213901961. The reversal of 3213901952 is 2591093123.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10468583 + ... + 10468889.

Almost surely, 23213901952 is an apocalyptic number.

3213901952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423872760).

3213901952 is an abundant number, since it is smaller than the sum of its proper divisors (3633843568).

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

3213901952 is a wasteful number, since it uses less digits than its factorization.

3213901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 3213901952 is about 56691.2863851227. The cubic root of 3213901952 is about 1475.7434845290.

The spelling of 3213901952 in words is "three billion, two hundred thirteen million, nine hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 283 289 307 544 566 578 614 1088 1132 1156 1228 2176 2264 2312 2456 4528 4624 4811 4912 5219 9056 9248 9622 9824 10438 18112 18496 19244 19648 20876 36224 36992 38488 39296 41752 76976 81787 83504 86881 88723 153952 163574 167008 173762 177446 307904 327148 334016 347524 354892 615808 654296 668032 695048 709784 1308592 1390096 1419568 1476977 2617184 2780192 2839136 2953954 5234368 5560384 5678272 5907908 10468736 11120768 11356544 11815816 23631632 25108609 47263264 50217218 94526528 100434436 189053056 200868872 401737744 803475488 1606950976 3213901952