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516342552 = 233116132063
BaseRepresentation
bin11110110001101…
…100001100011000
31022222120220211020
4132301230030120
52024140430202
6123123002440
715536560605
oct3661541430
91288526736
10516342552
11245509890
12124b09420
1382c8784b
144c80b6ac
15304e55bc
hex1ec6c318

516342552 has 64 divisors (see below), whose sum is σ = 1431336960. Its totient is φ = 153897600.

The previous prime is 516342551. The next prime is 516342553. The reversal of 516342552 is 255243615.

It is an interprime number because it is at equal distance from previous prime (516342551) and next prime (516342553).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516342551) 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, 73 + ... + 32135.

It is an arithmetic number, because the mean of its divisors is an integer number (22364640).

Almost surely, 2516342552 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 516342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715668480).

516342552 is an abundant number, since it is smaller than the sum of its proper divisors (914994408).

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

516342552 is a wasteful number, since it uses less digits than its factorization.

516342552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32144 (or 32140 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 516342552 is about 22723.1721377100. The cubic root of 516342552 is about 802.2553814263.

The spelling of 516342552 in words is "five hundred sixteen million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 8052 16104 32063 64126 96189 128252 192378 256504 352693 384756 705386 769512 1058079 1410772 1955843 2116158 2821544 3911686 4232316 5867529 7823372 8464632 11735058 15646744 21514273 23470116 43028546 46940232 64542819 86057092 129085638 172114184 258171276 516342552