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3980732544 = 273223150239
BaseRepresentation
bin1110110101000101…
…0010100010000000
3101021102110011110200
43231101102202000
531123031420134
61455000525200
7200434445145
oct35521224200
911242404420
103980732544
111763024308
12931180800
134b5936859
1429a97a3cc
1518471b499
hexed452880

3980732544 has 96 divisors (see below), whose sum is σ = 11953094400. Its totient is φ = 1269210624.

The previous prime is 3980732543. The next prime is 3980732549. The reversal of 3980732544 is 4452370893.

3980732544 is a `hidden beast` number, since 39 + 8 + 0 + 73 + 2 + 544 = 666.

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

It is a super-3 number, since 3×39807325443 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3980732544.

It is not an unprimeable number, because it can be changed into a prime (3980732543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48624 + ... + 101615.

It is an arithmetic number, because the mean of its divisors is an integer number (124511400).

Almost surely, 23980732544 is an apocalyptic number.

It is an amenable number.

3980732544 is an abundant number, since it is smaller than the sum of its proper divisors (7972361856).

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

3980732544 is a wasteful number, since it uses less digits than its factorization.

3980732544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150282 (or 150267 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3980732544 is about 63093.0467167342. The cubic root of 3980732544 is about 1584.8481836366.

The spelling of 3980732544 in words is "three billion, nine hundred eighty million, seven hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 150239 300478 450717 600956 901434 1201912 1352151 1802868 2403824 2704302 3455497 3605736 4807648 5408604 6910994 7211472 9615296 10366491 10817208 13821988 14422944 19230592 20732982 21634416 27643976 28845888 31099473 41465964 43268832 55287952 57691776 62198946 82931928 86537664 110575904 124397892 165863856 173075328 221151808 248795784 331727712 442303616 497591568 663455424 995183136 1326910848 1990366272 3980732544