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46313640 = 23335193761
BaseRepresentation
bin1011000010101…
…1000010101000
310020010222101000
42300223002220
543324014030
64332355000
71101442122
oct260530250
9106128330
1046313640
112416313a
1213615a60
139797529
146218212
1540ec860
hex2c2b0a8

46313640 has 256 divisors, whose sum is σ = 169632000. Its totient is φ = 11197440.

The previous prime is 46313633. The next prime is 46313653. The reversal of 46313640 is 4631364.

46313640 is a `hidden beast` number, since 4 + 6 + 3 + 13 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759210 + ... + 759270.

It is an arithmetic number, because the mean of its divisors is an integer number (662625).

Almost surely, 246313640 is an apocalyptic number.

46313640 is a gapful number since it is divisible by the number (40) 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 46313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84816000).

46313640 is an abundant number, since it is smaller than the sum of its proper divisors (123318360).

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

46313640 is a wasteful number, since it uses less digits than its factorization.

46313640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 46313640 is about 6805.4125517855. The cubic root of 46313640 is about 359.1172817928.

The spelling of 46313640 in words is "forty-six million, three hundred thirteen thousand, six hundred forty".