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612975104 = 297253461
BaseRepresentation
bin100100100010010…
…100001000000000
31120201102100202122
4210202110020000
52223410200404
6140454103412
721122126300
oct4442241000
91521370678
10612975104
112950102a5
1215134ab68
1399cbc681
145b5a3600
1538c323be
hex24894200

612975104 has 120 divisors (see below), whose sum is σ = 1454742828. Its totient is φ = 257187840.

The previous prime is 612975101. The next prime is 612975179. The reversal of 612975104 is 401579216.

It can be written as a sum of positive squares in 2 ways, for example, as 612661504 + 313600 = 24752^2 + 560^2 .

It is not an unprimeable number, because it can be changed into a prime (612975101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329434 + ... + 1329894.

Almost surely, 2612975104 is an apocalyptic number.

612975104 is a gapful number since it is divisible by the number (64) 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 612975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727371414).

612975104 is an abundant number, since it is smaller than the sum of its proper divisors (841767724).

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

612975104 is an equidigital number, since it uses as much as digits as its factorization.

612975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 612975104 is about 24758.3340311904. The cubic root of 612975104 is about 849.4691513536.

The spelling of 612975104 in words is "six hundred twelve million, nine hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 461 512 742 784 848 896 922 1484 1568 1696 1792 1844 2597 2968 3136 3227 3392 3584 3688 5194 5936 6272 6454 6784 7376 10388 11872 12544 12908 13568 14752 20776 22589 23744 24433 25088 25816 27136 29504 41552 45178 47488 48866 51632 59008 83104 90356 94976 97732 103264 118016 166208 171031 180712 189952 195464 206528 236032 332416 342062 361424 390928 413056 664832 684124 722848 781856 826112 1197217 1329664 1368248 1445696 1563712 1652224 2394434 2736496 2891392 3127424 4788868 5472992 5782784 6254848 9577736 10945984 11565568 12509696 19155472 21891968 38310944 43783936 76621888 87567872 153243776 306487552 612975104