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3055606272 = 29321733833
BaseRepresentation
bin1011011000100000…
…1101101000000000
321212221122212210200
42312020031220000
522224213400042
61223112125200
7135502140045
oct26610155000
97787585720
103055606272
1113288a0244
12713396800
13399083664
1420db5d1cc
1512d3c9c4c
hexb620da00

3055606272 has 120 divisors (see below), whose sum is σ = 8871975684. Its totient is φ = 1012383744.

The previous prime is 3055606271. The next prime is 3055606289. The reversal of 3055606272 is 2726065503.

It is a happy number.

3055606272 is a `hidden beast` number, since 30 + 5 + 560 + 62 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3031163136 + 24443136 = 55056^2 + 4944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3055606271) by changing a digit.

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, 795268 + ... + 799100.

Almost surely, 23055606272 is an apocalyptic number.

3055606272 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 3055606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435987842).

3055606272 is an abundant number, since it is smaller than the sum of its proper divisors (5816369412).

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

3055606272 is a wasteful number, since it uses less digits than its factorization.

3055606272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3055606272 is about 55277.5385848538. The cubic root of 3055606272 is about 1451.1059769785.

The spelling of 3055606272 in words is "three billion, fifty-five million, six hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 512 519 576 692 768 1038 1152 1384 1536 1557 2076 2304 2768 3114 3833 4152 4608 5536 6228 7666 8304 11072 11499 12456 15332 16608 22144 22998 24912 30664 33216 34497 44288 45996 49824 61328 66432 68994 88576 91992 99648 122656 132864 137988 183984 199296 245312 265728 275976 367968 398592 490624 551952 663109 735936 797184 981248 1103904 1326218 1471872 1962496 1989327 2207808 2652436 2943744 3978654 4415616 5304872 5887488 5967981 7957308 8831232 10609744 11935962 15914616 17662464 21219488 23871924 31829232 42438976 47743848 63658464 84877952 95487696 127316928 169755904 190975392 254633856 339511808 381950784 509267712 763901568 1018535424 1527803136 3055606272