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3056799480 = 233574384629
BaseRepresentation
bin1011011000110011…
…0000111011111000
321220000220111120120
42312030300323320
522230020040410
61223153453240
7135515236560
oct26614607370
97800814516
103056799480
111329535769
12713871220
133993b07b7
1420dd8dda0
1512d563570
hexb6330ef8

3056799480 has 128 divisors (see below), whose sum is σ = 10724313600. Its totient is φ = 682440192.

The previous prime is 3056799469. The next prime is 3056799541. The reversal of 3056799480 is 849976503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6195 + ... + 78434.

It is an arithmetic number, because the mean of its divisors is an integer number (83783700).

Almost surely, 23056799480 is an apocalyptic number.

3056799480 is a gapful number since it is divisible by the number (30) 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 3056799480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800).

3056799480 is an abundant number, since it is smaller than the sum of its proper divisors (7667514120).

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

3056799480 is a wasteful number, since it uses less digits than its factorization.

3056799480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84693 (or 84689 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3056799480 is about 55288.3304142927. The cubic root of 3056799480 is about 1451.2948370363.

The spelling of 3056799480 in words is "three billion, fifty-six million, seven hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 6020 7224 9030 12040 18060 36120 84629 169258 253887 338516 423145 507774 592403 677032 846290 1015548 1184806 1269435 1692580 1777209 2031096 2369612 2538870 2962015 3385160 3554418 3639047 4739224 5077740 5924030 7108836 7278094 8886045 10155480 10917141 11848060 14217672 14556188 17772090 18195235 21834282 23696120 25473329 29112376 35544180 36390470 43668564 50946658 54585705 71088360 72780940 76419987 87337128 101893316 109171410 127366645 145561880 152839974 203786632 218342820 254733290 305679948 382099935 436685640 509466580 611359896 764199870 1018933160 1528399740 3056799480