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46466628 = 223131961257
BaseRepresentation
bin1011000101000…
…0011001000100
310020102202020020
42301100121010
543343413003
64335535140
71102650135
oct261203104
9106382206
1046466628
112425807a
121368a4b0
13981c060
146257c8c
15412cd53
hex2c50644

46466628 has 96 divisors (see below), whose sum is σ = 125408640. Its totient is φ = 13271040.

The previous prime is 46466621. The next prime is 46466659. The reversal of 46466628 is 82666464.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46466628.

It is not an unprimeable number, because it can be changed into a prime (46466621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180676 + ... + 180932.

It is an arithmetic number, because the mean of its divisors is an integer number (1306340).

Almost surely, 246466628 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 46466628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62704320).

46466628 is an abundant number, since it is smaller than the sum of its proper divisors (78942012).

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

46466628 is a wasteful number, since it uses less digits than its factorization.

46466628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 46466628 is about 6816.6434555432. The cubic root of 46466628 is about 359.5122716223.

The spelling of 46466628 in words is "forty-six million, four hundred sixty-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 61 76 78 114 122 156 183 228 244 247 257 366 494 514 732 741 771 793 988 1028 1159 1482 1542 1586 2318 2379 2964 3084 3172 3341 3477 4636 4758 4883 6682 6954 9516 9766 10023 13364 13908 14649 15067 15677 19532 20046 29298 30134 31354 40092 45201 47031 58596 60268 62708 63479 90402 94062 126958 180804 188124 190437 203801 253916 297863 380874 407602 595726 611403 761748 815204 893589 1191452 1222806 1787178 2445612 3574356 3872219 7744438 11616657 15488876 23233314 46466628