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46468096 = 210231973
BaseRepresentation
bin1011000101000…
…0110000000000
310020102211020121
42301100300000
543343434341
64335550024
71102654333
oct261206000
9106384217
1046468096
1124259194
121368b314
13981c91c
14625861a
15412d4d1
hex2c50c00

46468096 has 44 divisors (see below), whose sum is σ = 96978672. Its totient is φ = 22212608.

The previous prime is 46468087. The next prime is 46468109. The reversal of 46468096 is 69086464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22566 + ... + 24538.

Almost surely, 246468096 is an apocalyptic number.

46468096 is a gapful number since it is divisible by the number (46) 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 46468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48489336).

46468096 is an abundant number, since it is smaller than the sum of its proper divisors (50510576).

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

46468096 is a wasteful number, since it uses less digits than its factorization.

46468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 46468096 is about 6816.7511323210. The cubic root of 46468096 is about 359.5160575541.

The spelling of 46468096 in words is "forty-six million, four hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 1973 2944 3946 5888 7892 11776 15784 23552 31568 45379 63136 90758 126272 181516 252544 363032 505088 726064 1010176 1452128 2020352 2904256 5808512 11617024 23234048 46468096