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46996124 = 22729311867
BaseRepresentation
bin1011001101000…
…1101010011100
310021102122120012
42303101222130
544012333444
64355142352
71110313640
oct263215234
9107378505
1046996124
112458997a
12138a49b8
139976076
146354c20
1541d4b9e
hex2cd1a9c

46996124 has 48 divisors (see below), whose sum is σ = 100423680. Its totient is φ = 18809280.

The previous prime is 46996111. The next prime is 46996133. The reversal of 46996124 is 42169964.

46996124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24239 + ... + 26105.

It is an arithmetic number, because the mean of its divisors is an integer number (2092160).

Almost surely, 246996124 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 46996124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50211840).

46996124 is an abundant number, since it is smaller than the sum of its proper divisors (53427556).

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

46996124 is a wasteful number, since it uses less digits than its factorization.

46996124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1936 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 46996124 is about 6855.3719082191. The cubic root of 46996124 is about 360.8726873086.

The spelling of 46996124 in words is "forty-six million, nine hundred ninety-six thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 1798 1867 3596 3734 6293 7468 12586 13069 25172 26138 52276 54143 57877 108286 115754 216572 231508 379001 405139 758002 810278 1516004 1620556 1678433 3356866 6713732 11749031 23498062 46996124