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16925664 = 253789283
BaseRepresentation
bin100000010010…
…0001111100000
31011211220122110
41000210033200
513313110124
61402435320
7263602650
oct100441740
934756573
1016925664
119610558
125802b40
133677cb2
142368360
151745029
hex10243e0

16925664 has 96 divisors (see below), whose sum is σ = 51528960. Its totient is φ = 4764672.

The previous prime is 16925663. The next prime is 16925669. The reversal of 16925664 is 46652961.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16925663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59667 + ... + 59949.

It is an arithmetic number, because the mean of its divisors is an integer number (536760).

Almost surely, 216925664 is an apocalyptic number.

16925664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25764480).

16925664 is an abundant number, since it is smaller than the sum of its proper divisors (34603296).

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

16925664 is a wasteful number, since it uses less digits than its factorization.

16925664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 16925664 is about 4114.0811853924. The cubic root of 16925664 is about 256.7528295266.

The spelling of 16925664 in words is "sixteen million, nine hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 283 336 356 534 566 623 672 712 849 1068 1132 1246 1424 1698 1869 1981 2136 2264 2492 2848 3396 3738 3962 4272 4528 4984 5943 6792 7476 7924 8544 9056 9968 11886 13584 14952 15848 19936 23772 25187 27168 29904 31696 47544 50374 59808 63392 75561 95088 100748 151122 176309 190176 201496 302244 352618 402992 528927 604488 705236 805984 1057854 1208976 1410472 2115708 2417952 2820944 4231416 5641888 8462832 16925664