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516076992 = 26321735179
BaseRepresentation
bin11110110000101…
…011010111000000
31022222002102112200
4132300223113000
52024103430432
6123113153200
715534403434
oct3660532700
91288072480
10516076992
11245348312
121249bb800
1382bc3a02
144c77c9c4
1530491a7c
hex1ec2b5c0

516076992 has 84 divisors (see below), whose sum is σ = 1488079320. Its totient is φ = 170998272.

The previous prime is 516076991. The next prime is 516076997. The reversal of 516076992 is 299670615.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516076991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97059 + ... + 102237.

It is an arithmetic number, because the mean of its divisors is an integer number (17715230).

Almost surely, 2516076992 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 516076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744039660).

516076992 is an abundant number, since it is smaller than the sum of its proper divisors (972002328).

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

516076992 is a wasteful number, since it uses less digits than its factorization.

516076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5370 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 516076992 is about 22717.3280118944. The cubic root of 516076992 is about 802.1178219239.

The spelling of 516076992 in words is "five hundred sixteen million, seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1384 1557 2076 2768 3114 4152 5179 5536 6228 8304 10358 11072 12456 15537 16608 20716 24912 31074 33216 41432 46611 49824 62148 82864 93222 99648 124296 165728 186444 248592 331456 372888 497184 745776 895967 994368 1491552 1791934 2687901 2983104 3583868 5375802 7167736 8063703 10751604 14335472 16127406 21503208 28670944 32254812 43006416 57341888 64509624 86012832 129019248 172025664 258038496 516076992