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516045376 = 26711104717
BaseRepresentation
bin11110110000100…
…011101001000000
31022222000211011201
4132300203221000
52024101423001
6123112350544
715534212320
oct3660435100
91288024151
10516045376
11245326590
121249a5454
1382bb24c2
144c771280
1530487501
hex1ec23a40

516045376 has 56 divisors (see below), whose sum is σ = 1276721856. Its totient is φ = 201054720.

The previous prime is 516045373. The next prime is 516045427. The reversal of 516045376 is 673540615.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516045373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47431 + ... + 57286.

Almost surely, 2516045376 is an apocalyptic number.

516045376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

516045376 is an abundant number, since it is smaller than the sum of its proper divisors (760676480).

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

516045376 is a wasteful number, since it uses less digits than its factorization.

516045376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104747 (or 104737 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 516045376 is about 22716.6321447524. The cubic root of 516045376 is about 802.1014417614.

The spelling of 516045376 in words is "five hundred sixteen million, forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 104717 209434 418868 733019 837736 1151887 1466038 1675472 2303774 2932076 3350944 4607548 5864152 6701888 8063209 9215096 11728304 16126418 18430192 23456608 32252836 36860384 46913216 64505672 73720768 129011344 258022688 516045376