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16242264 = 23321931383
BaseRepresentation
bin111101111101…
…011001011000
31010120012012100
4331331121120
513124223024
61340043400
7255025353
oct75753130
933505170
1016242264
119194065
125533560
133498c0c
14222b29a
15165c7c9
hexf7d658

16242264 has 96 divisors (see below), whose sum is σ = 47923200. Its totient is φ = 4950720.

The previous prime is 16242257. The next prime is 16242269. The reversal of 16242264 is 46224261.

It is a super-2 number, since 2×162422642 = 527622279691392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16242269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42217 + ... + 42599.

It is an arithmetic number, because the mean of its divisors is an integer number (499200).

Almost surely, 216242264 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 16242264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961600).

16242264 is an abundant number, since it is smaller than the sum of its proper divisors (31680936).

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

16242264 is a wasteful number, since it uses less digits than its factorization.

16242264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 16242264 is about 4030.1692272161. The cubic root of 16242264 is about 253.2496507231.

The spelling of 16242264 in words is "sixteen million, two hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 383 456 558 589 684 744 766 1116 1149 1178 1368 1532 1767 2232 2298 2356 3064 3447 3534 4596 4712 5301 6894 7068 7277 9192 10602 11873 13788 14136 14554 21204 21831 23746 27576 29108 35619 42408 43662 47492 58216 65493 71238 87324 94984 106857 130986 142476 174648 213714 225587 261972 284952 427428 451174 523944 676761 854856 902348 1353522 1804696 2030283 2707044 4060566 5414088 8121132 16242264