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516097395 = 325114324247
BaseRepresentation
bin11110110000110…
…000010101110011
31022222010110112100
4132300300111303
52024110104040
6123113431443
715534520062
oct3660602563
91288113470
10516097395
11245361680
12124a0b583
1382c00098
144c7861d9
1530497b30
hex1ec30573

516097395 has 48 divisors (see below), whose sum is σ = 998629632. Its totient is φ = 244399680.

The previous prime is 516097357. The next prime is 516097433. The reversal of 516097395 is 593790615.

516097395 is a `hidden beast` number, since 5 + 1 + 609 + 7 + 39 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (516097357) and next prime (516097433).

It is not a de Polignac number, because 516097395 - 214 = 516081011 is a prime.

It is a super-2 number, since 2×5160973952 = 532713042251572050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 516097395.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9162 + ... + 33408.

It is an arithmetic number, because the mean of its divisors is an integer number (20804784).

Almost surely, 2516097395 is an apocalyptic number.

516097395 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

516097395 is a deficient number, since it is larger than the sum of its proper divisors (482532237).

516097395 is a wasteful number, since it uses less digits than its factorization.

516097395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24312 (or 24309 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 516097395 is about 22717.7770699512. Note that the first 3 decimals coincide. The cubic root of 516097395 is about 802.1283923068.

The spelling of 516097395 in words is "five hundred sixteen million, ninety-seven thousand, three hundred ninety-five".

Divisors: 1 3 5 9 11 15 33 43 45 55 99 129 165 215 387 473 495 645 1419 1935 2365 4257 7095 21285 24247 72741 121235 218223 266717 363705 800151 1042621 1091115 1333585 2400453 3127863 4000755 5213105 9383589 11468831 12002265 15639315 34406493 46917945 57344155 103219479 172032465 516097395