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46255968 = 25331131157
BaseRepresentation
bin1011000001110…
…0111101100000
310020001001021000
42300130331200
543320142333
64331232000
71101112023
oct260347540
9106031230
1046255968
1124123880
12135a8600
1397771c5
1462011ba
1540da713
hex2c1cf60

46255968 has 192 divisors, whose sum is σ = 152893440. Its totient is φ = 13478400.

The previous prime is 46255949. The next prime is 46255973. The reversal of 46255968 is 86955264.

It is a super-2 number, since 2×462559682 = 4279229151234048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294546 + ... + 294702.

It is an arithmetic number, because the mean of its divisors is an integer number (796320).

Almost surely, 246255968 is an apocalyptic number.

46255968 is a gapful number since it is divisible by the number (48) 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 46255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76446720).

46255968 is an abundant number, since it is smaller than the sum of its proper divisors (106637472).

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

46255968 is a wasteful number, since it uses less digits than its factorization.

46255968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 46255968 is about 6801.1740163004. The cubic root of 46255968 is about 358.9681564336.

The spelling of 46255968 in words is "forty-six million, two hundred fifty-five thousand, nine hundred sixty-eight".