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16682952 = 23311134861
BaseRepresentation
bin111111101000…
…111111001000
31011101120201010
4333220333020
513232323302
61353323520
7261542226
oct77507710
934346633
1016682952
119465170
1257065a0
1335c1690
142303b16
1516e816c
hexfe8fc8

16682952 has 64 divisors (see below), whose sum is σ = 49008960. Its totient is φ = 4665600.

The previous prime is 16682947. The next prime is 16682959. The reversal of 16682952 is 25928661.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 16682952.

It is not an unprimeable number, because it can be changed into a prime (16682959) 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, 1002 + ... + 5862.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 216682952 is an apocalyptic number.

16682952 is a gapful number since it is divisible by the number (12) 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 16682952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504480).

16682952 is an abundant number, since it is smaller than the sum of its proper divisors (32326008).

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

16682952 is a wasteful number, since it uses less digits than its factorization.

16682952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4890 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 16682952 is about 4084.4769554987. The cubic root of 16682952 is about 255.5196477449.

The spelling of 16682952 in words is "sixteen million, six hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 4861 9722 14583 19444 29166 38888 53471 58332 63193 106942 116664 126386 160413 189579 213884 252772 320826 379158 427768 505544 641652 695123 758316 1283304 1390246 1516632 2085369 2780492 4170738 5560984 8341476 16682952