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16427664 = 2433113457
BaseRepresentation
bin111110101010…
…101010010000
31010220121112000
4332222222100
513201141124
61344034000
7256430031
oct76525220
933817460
1016427664
119300390
125602900
133532416
142278a88
1516976c9
hexfaaa90

16427664 has 80 divisors (see below), whose sum is σ = 51455040. Its totient is φ = 4976640.

The previous prime is 16427639. The next prime is 16427687. The reversal of 16427664 is 46672461.

16427664 is a `hidden beast` number, since 1 + 642 + 7 + 6 + 6 + 4 = 666.

16427664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3024 + ... + 6480.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 216427664 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 16427664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727520).

16427664 is an abundant number, since it is smaller than the sum of its proper divisors (35027376).

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

16427664 is a wasteful number, since it uses less digits than its factorization.

16427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3473 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 16427664 is about 4053.1054760517. The cubic root of 16427664 is about 254.2095940871.

The spelling of 16427664 in words is "sixteen million, four hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 3457 4752 6914 10371 13828 20742 27656 31113 38027 41484 55312 62226 76054 82968 93339 114081 124452 152108 165936 186678 228162 248904 304216 342243 373356 456324 497808 608432 684486 746712 912648 1026729 1368972 1493424 1825296 2053458 2737944 4106916 5475888 8213832 16427664