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514172672 = 2813433593
BaseRepresentation
bin11110101001011…
…010011100000000
31022211111200022022
4132221122130000
52023112011142
6123004301012
715512252456
oct3651323400
91284450268
10514172672
112442675a2
12124241768
13826a7cb0
144c4049d6
15302176d2
hex1ea5a700

514172672 has 72 divisors (see below), whose sum is σ = 1131304944. Its totient is φ = 231727104.

The previous prime is 514172641. The next prime is 514172693. The reversal of 514172672 is 276271415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141308 + ... + 144900.

Almost surely, 2514172672 is an apocalyptic number.

514172672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565652472).

514172672 is an abundant number, since it is smaller than the sum of its proper divisors (617132272).

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

514172672 is a wasteful number, since it uses less digits than its factorization.

514172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3651 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 514172672 is about 22675.3758954510. The cubic root of 514172672 is about 801.1300031147.

The spelling of 514172672 in words is "five hundred fourteen million, one hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 256 344 416 559 688 832 1118 1376 1664 2236 2752 3328 3593 4472 5504 7186 8944 11008 14372 17888 28744 35776 46709 57488 71552 93418 114976 143104 154499 186836 229952 308998 373672 459904 617996 747344 919808 1235992 1494688 2008487 2471984 2989376 4016974 4943968 5978752 8033948 9887936 11957504 16067896 19775872 32135792 39551744 64271584 128543168 257086336 514172672