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3990437976 = 2337613671061
BaseRepresentation
bin1110110111011001…
…0100000001011000
3101022002201020211010
43231312110001120
531133023003401
61455544533520
7200613106650
oct35566240130
911262636733
103990437976
111768553128
129344812a0
134b7954305
1429bd85360
151854d6ed6
hexedd94058

3990437976 has 128 divisors (see below), whose sum is σ = 11630684160. Its totient is φ = 1117324800.

The previous prime is 3990437963. The next prime is 3990437977. The reversal of 3990437976 is 6797340993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3990437977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3760486 + ... + 3761546.

It is an arithmetic number, because the mean of its divisors is an integer number (90864720).

Almost surely, 23990437976 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 3990437976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815342080).

3990437976 is an abundant number, since it is smaller than the sum of its proper divisors (7640246184).

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

3990437976 is a wasteful number, since it uses less digits than its factorization.

3990437976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 57.

The square root of 3990437976 is about 63169.9135348466. The cubic root of 3990437976 is about 1586.1351454663.

The spelling of 3990437976 in words is "three billion, nine hundred ninety million, four hundred thirty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 367 427 488 732 734 854 1061 1101 1281 1464 1468 1708 2122 2202 2562 2569 2936 3183 3416 4244 4404 5124 5138 6366 7427 7707 8488 8808 10248 10276 12732 14854 15414 20552 22281 22387 25464 29708 30828 44562 44774 59416 61656 64721 67161 89124 89548 129442 134322 156709 178248 179096 194163 258884 268644 313418 388326 389387 453047 470127 517768 537288 626836 776652 778774 906094 940254 1168161 1253672 1359141 1553304 1557548 1812188 1880508 2336322 2718282 2725709 3115096 3624376 3761016 4672644 5436564 5451418 8177127 9345288 10873128 10902836 16354254 21805672 23752607 32708508 47505214 65417016 71257821 95010428 142515642 166268249 190020856 285031284 332536498 498804747 570062568 665072996 997609494 1330145992 1995218988 3990437976