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468379032 = 233111993377
BaseRepresentation
bin11011111010101…
…110010110011000
31012122100010020120
4123322232112120
51424401112112
6114250553240
714415104352
oct3372562630
91178303216
10468379032
1122042a110
12110a38820
1376063374
14462c40d2
152b1bde8c
hex1beae598

468379032 has 64 divisors (see below), whose sum is σ = 1344643200. Its totient is φ = 134461440.

The previous prime is 468379003. The next prime is 468379049. The reversal of 468379032 is 230973864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41673 + ... + 51704.

It is an arithmetic number, because the mean of its divisors is an integer number (21010050).

Almost surely, 2468379032 is an apocalyptic number.

It is an amenable number.

468379032 is an abundant number, since it is smaller than the sum of its proper divisors (876264168).

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

468379032 is a wasteful number, since it uses less digits than its factorization.

468379032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93416 (or 93412 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 468379032 is about 21642.0662599485. The cubic root of 468379032 is about 776.6031508370.

The spelling of 468379032 in words is "four hundred sixty-eight million, three hundred seventy-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 93377 186754 280131 373508 560262 747016 1027147 1120524 1774163 2054294 2241048 3081441 3548326 4108588 5322489 6162882 7096652 8217176 10644978 12325764 14193304 19515793 21289956 24651528 39031586 42579912 58547379 78063172 117094758 156126344 234189516 468379032