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516079392 = 25383239271
BaseRepresentation
bin11110110000101…
…011111100100000
31022222002112211120
4132300223330200
52024104020032
6123113212240
715534413433
oct3660537440
91288075746
10516079392
1124534a0a4
12124a01080
1382bc4b2a
144c77d81a
153049262c
hex1ec2bf20

516079392 has 96 divisors (see below), whose sum is σ = 1381847040. Its totient is φ = 168618240.

The previous prime is 516079321. The next prime is 516079393. The reversal of 516079392 is 293970615.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (516079393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1904217 + ... + 1904487.

It is an arithmetic number, because the mean of its divisors is an integer number (14394240).

Almost surely, 2516079392 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 516079392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690923520).

516079392 is an abundant number, since it is smaller than the sum of its proper divisors (865767648).

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

516079392 is a wasteful number, since it uses less digits than its factorization.

516079392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 516079392 is about 22717.3808349466. The cubic root of 516079392 is about 802.1190653300.

The spelling of 516079392 in words is "five hundred sixteen million, seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 239 249 271 332 478 498 542 664 717 813 956 996 1084 1328 1434 1626 1912 1992 2168 2656 2868 3252 3824 3984 4336 5736 6504 7648 7968 8672 11472 13008 19837 22493 22944 26016 39674 44986 59511 64769 67479 79348 89972 119022 129538 134958 158696 179944 194307 238044 259076 269916 317392 359888 388614 476088 518152 539832 634784 719776 777228 952176 1036304 1079664 1554456 1904352 2072608 2159328 3108912 5375827 6217824 10751654 16127481 21503308 32254962 43006616 64509924 86013232 129019848 172026464 258039696 516079392