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516079104 = 293337997
BaseRepresentation
bin11110110000101…
…011111000000000
31022222002112102220
4132300223320000
52024104012404
6123113211040
715534412542
oct3660537000
91288075386
10516079104
11245349962
12124a00a80
1382bc4968
144c77d692
15304924d9
hex1ec2be00

516079104 has 80 divisors (see below), whose sum is σ = 1380329808. Its totient is φ = 171343872.

The previous prime is 516079021. The next prime is 516079117. The reversal of 516079104 is 401970615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517134 + ... + 518130.

Almost surely, 2516079104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690164904).

516079104 is an abundant number, since it is smaller than the sum of its proper divisors (864250704).

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

516079104 is an equidigital number, since it uses as much as digits as its factorization.

516079104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 516079104 is about 22717.3744961868. The cubic root of 516079104 is about 802.1189161215.

The spelling of 516079104 in words is "five hundred sixteen million, seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 337 384 512 674 768 997 1011 1348 1536 1994 2022 2696 2991 3988 4044 5392 5982 7976 8088 10784 11964 15952 16176 21568 23928 31904 32352 43136 47856 63808 64704 86272 95712 127616 129408 172544 191424 255232 258816 335989 382848 510464 517632 671978 765696 1007967 1343956 1531392 2015934 2687912 4031868 5375824 8063736 10751648 16127472 21503296 32254944 43006592 64509888 86013184 129019776 172026368 258039552 516079104