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46923968 = 2672131151
BaseRepresentation
bin1011001100000…
…0000011000000
310021021222120202
42303000003000
544003031333
64353424332
71106563400
oct263000300
9107258522
1046923968
112453a743
121386b0a8
13994c280
146336800
1541bd5e8
hex2cc00c0

46923968 has 84 divisors (see below), whose sum is σ = 116750592. Its totient is φ = 18547200.

The previous prime is 46923959. The next prime is 46923973. The reversal of 46923968 is 86932964.

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 11 ways as a sum of consecutive naturals, for example, 40193 + ... + 41343.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 246923968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58375296).

46923968 is an abundant number, since it is smaller than the sum of its proper divisors (69826624).

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

46923968 is a wasteful number, since it uses less digits than its factorization.

46923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1173 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 46923968 is about 6850.1071524466. The cubic root of 46923968 is about 360.6879027968.

The spelling of 46923968 in words is "forty-six million, nine hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 364 392 416 448 637 728 784 832 1151 1274 1456 1568 2302 2548 2912 3136 4604 5096 5824 8057 9208 10192 14963 16114 18416 20384 29926 32228 36832 40768 56399 59852 64456 73664 104741 112798 119704 128912 209482 225596 239408 257824 418964 451192 478816 515648 733187 837928 902384 957632 1466374 1675856 1804768 2932748 3351712 3609536 5865496 6703424 11730992 23461984 46923968