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46390968 = 2334135507
BaseRepresentation
bin1011000011110…
…1111010111000
310020021220110000
42300331322320
543334002333
64334153000
71102213431
oct260757270
9106256400
1046390968
1124206248
1213652760
1397c37a0
146238488
154115713
hex2c3deb8

46390968 has 80 divisors (see below), whose sum is σ = 139958280. Its totient is φ = 14271552.

The previous prime is 46390961. The next prime is 46390969. The reversal of 46390968 is 86909364.

46390968 is a `hidden beast` number, since 4 + 639 + 0 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46390961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5671 + ... + 11177.

Almost surely, 246390968 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 46390968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69979140).

46390968 is an abundant number, since it is smaller than the sum of its proper divisors (93567312).

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

46390968 is a wasteful number, since it uses less digits than its factorization.

46390968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5538 (or 5525 counting only the distinct ones).

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

The square root of 46390968 is about 6811.0915424769. The cubic root of 46390968 is about 359.3170384960.

The spelling of 46390968 in words is "forty-six million, three hundred ninety thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 5507 8424 11014 16521 22028 33042 44056 49563 66084 71591 99126 132168 143182 148689 198252 214773 286364 297378 396504 429546 446067 572728 594756 644319 859092 892134 1189512 1288638 1718184 1784268 1932957 2577276 3568536 3865914 5154552 5798871 7731828 11597742 15463656 23195484 46390968