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613812864 = 2737228353
BaseRepresentation
bin100100100101100…
…000101010000000
31120202222220221210
4210211200222000
52224114002424
6140524050120
721132215610
oct4445405200
91522886853
10613812864
11295532765
12151693940
139a223aa2
145b740a40
1538d4a729
hex24960a80

613812864 has 64 divisors (see below), whose sum is σ = 1863368640. Its totient is φ = 175374336.

The previous prime is 613812827. The next prime is 613812877. The reversal of 613812864 is 468218316.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111489 + ... + 116864.

It is an arithmetic number, because the mean of its divisors is an integer number (29115135).

Almost surely, 2613812864 is an apocalyptic number.

613812864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

613812864 is an abundant number, since it is smaller than the sum of its proper divisors (1249555776).

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

613812864 is a wasteful number, since it uses less digits than its factorization.

613812864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228377 (or 228365 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 613812864 is about 24775.2470017960. The cubic root of 613812864 is about 849.8559682135.

The spelling of 613812864 in words is "six hundred thirteen million, eight hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 228353 456706 685059 913412 1370118 1598471 1826824 2740236 3196942 3653648 4795413 5480472 6393884 7307296 9590826 10960944 12787768 14614592 19181652 21921888 25575536 29229184 38363304 43843776 51151072 76726608 87687552 102302144 153453216 204604288 306906432 613812864