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46492992 = 2632713887
BaseRepresentation
bin1011000101011…
…0110101000000
310020111002101200
42301112311000
543400233432
64340301200
71103120040
oct261266500
9106432350
1046492992
1124275967
12136a1800
13982b060
146263720
154135a7c
hex2c56d40

46492992 has 168 divisors, whose sum is σ = 164201856. Its totient is φ = 12248064.

The previous prime is 46492991. The next prime is 46492993. The reversal of 46492992 is 29929464.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (46492991) and next prime (46492993).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×464929922 = 4323196610224128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46492991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51973 + ... + 52859.

It is an arithmetic number, because the mean of its divisors is an integer number (977392).

Almost surely, 246492992 is an apocalyptic number.

46492992 is a gapful number since it is divisible by the number (42) 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 46492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82100928).

46492992 is an abundant number, since it is smaller than the sum of its proper divisors (117708864).

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

46492992 is a wasteful number, since it uses less digits than its factorization.

46492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 912 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 46492992 is about 6818.5769776398. The cubic root of 46492992 is about 359.5802515177.

The spelling of 46492992 in words is "forty-six million, four hundred ninety-two thousand, nine hundred ninety-two".