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46900272 = 2433143733
BaseRepresentation
bin1011001011101…
…0010000110000
310021020210002010
42302322100300
544001302042
64353122520
71106434326
oct262722060
9107223063
1046900272
1124523961
1213859440
139941553
14632bd16
1541b659c
hex2cba430

46900272 has 80 divisors (see below), whose sum is σ = 128150528. Its totient is φ = 14757120.

The previous prime is 46900267. The next prime is 46900319. The reversal of 46900272 is 27200964.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 63618 + ... + 64350.

Almost surely, 246900272 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 46900272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64075264).

46900272 is an abundant number, since it is smaller than the sum of its proper divisors (81250256).

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

46900272 is a wasteful number, since it uses less digits than its factorization.

46900272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 46900272 is about 6848.3773260532. The cubic root of 46900272 is about 360.6271783242.

The spelling of 46900272 in words is "forty-six million, nine hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 248 258 344 372 496 516 688 733 744 1032 1333 1466 1488 2064 2199 2666 2932 3999 4398 5332 5864 7998 8796 10664 11728 15996 17592 21328 22723 31519 31992 35184 45446 63038 63984 68169 90892 94557 126076 136338 181784 189114 252152 272676 363568 378228 504304 545352 756456 977089 1090704 1512912 1954178 2931267 3908356 5862534 7816712 11725068 15633424 23450136 46900272