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465636990 = 2357131947191
BaseRepresentation
bin11011110000010…
…000111001111110
31012110011210212110
4123300100321332
51423200340430
6114112114450
714352564150
oct3360207176
91173153773
10465636990
11219926a65
1210bb35a26
1375613260
1445bacad0
152ad2b7b0
hex1bc10e7e

465636990 has 256 divisors, whose sum is σ = 1486356480. Its totient is φ = 90616320.

The previous prime is 465636989. The next prime is 465637049. The reversal of 465636990 is 99636564.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2437795 + ... + 2437985.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2465636990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465636990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743178240).

465636990 is an abundant number, since it is smaller than the sum of its proper divisors (1020719490).

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

465636990 is a wasteful number, since it uses less digits than its factorization.

465636990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 465636990 is about 21578.6234500721. The cubic root of 465636990 is about 775.0846886294.

The spelling of 465636990 in words is "four hundred sixty-five million, six hundred thirty-six thousand, nine hundred ninety".