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46976072 = 23112133733
BaseRepresentation
bin1011001100110…
…0110001001000
310021101122001112
42303030301020
544011213242
64354505452
71110201323
oct263146110
9107348045
1046976072
1124575900
1213895288
139969bc0
14634b7ba
1541cdc82
hex2cccc48

46976072 has 48 divisors (see below), whose sum is σ = 104290620. Its totient is φ = 19704960.

The previous prime is 46976063. The next prime is 46976087. The reversal of 46976072 is 27067964.

It can be written as a sum of positive squares in 2 ways, for example, as 45616516 + 1359556 = 6754^2 + 1166^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10718 + ... + 14450.

Almost surely, 246976072 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 46976072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52145310).

46976072 is an abundant number, since it is smaller than the sum of its proper divisors (57314548).

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

46976072 is a wasteful number, since it uses less digits than its factorization.

46976072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 46976072 is about 6853.9092494722. The cubic root of 46976072 is about 360.8213550715.

The spelling of 46976072 in words is "forty-six million, nine hundred seventy-six thousand, seventy-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 968 1144 1573 3146 3733 6292 7466 12584 14932 29864 41063 48529 82126 97058 164252 194116 328504 388232 451693 533819 903386 1067638 1806772 2135276 3613544 4270552 5872009 11744018 23488036 46976072