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46420920 = 233257132109
BaseRepresentation
bin1011000100010…
…1001110111000
310020100102112100
42301011032320
543340432140
64334543400
71102366650
oct261051670
9106312470
1046420920
11242267a7
1213667b60
139804300
146245360
15411e530
hex2c453b8

46420920 has 288 divisors, whose sum is σ = 188416800. Its totient is φ = 9704448.

The previous prime is 46420901. The next prime is 46420961. The reversal of 46420920 is 2902464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425826 + ... + 425934.

It is an arithmetic number, because the mean of its divisors is an integer number (654225).

Almost surely, 246420920 is an apocalyptic number.

46420920 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 46420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94208400).

46420920 is an abundant number, since it is smaller than the sum of its proper divisors (141995880).

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

46420920 is a wasteful number, since it uses less digits than its factorization.

46420920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46420920 is about 6813.2899541998. The cubic root of 46420920 is about 359.3943520266.

The spelling of 46420920 in words is "forty-six million, four hundred twenty thousand, nine hundred twenty".