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244253664 = 25331914879
BaseRepresentation
bin11101000111100…
…00001111100000
3122000121101001000
432203300033200
51000012104124
640123112000
76024056544
oct1643601740
9560541030
10244253664
11115969436
1269972600
133b7accc5
1424621a24
151669b6c9
hexe8f03e0

244253664 has 96 divisors (see below), whose sum is σ = 749952000. Its totient is φ = 77127552.

The previous prime is 244253651. The next prime is 244253677. The reversal of 244253664 is 466352442.

244253664 is a `hidden beast` number, since 24 + 42 + 536 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (244253651) and next prime (244253677).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8977 + ... + 23855.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2244253664 is an apocalyptic number.

244253664 is a gapful number since it is divisible by the number (24) 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 244253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

244253664 is an abundant number, since it is smaller than the sum of its proper divisors (505698336).

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

244253664 is a wasteful number, since it uses less digits than its factorization.

244253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14917 (or 14903 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 244253664 is about 15628.6168293934. The cubic root of 244253664 is about 625.0964450633.

The spelling of 244253664 in words is "two hundred forty-four million, two hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 14879 16416 29758 44637 59516 89274 119032 133911 178548 238064 267822 282701 357096 401733 476128 535644 565402 714192 803466 848103 1071288 1130804 1428384 1606932 1696206 2142576 2261608 2544309 3213864 3392412 4285152 4523216 5088618 6427728 6784824 7632927 9046432 10177236 12855456 13569648 15265854 20354472 27139296 30531708 40708944 61063416 81417888 122126832 244253664