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2644074252 = 2237479631
BaseRepresentation
bin1001110110011001…
…0101111100001100
320211021021220000000
42131212111330030
520403340334002
61114211404300
7122344155201
oct23546257414
96737256000
102644074252
111137569136
126195b3690
13331a350a1
141b1235ca8
151071d961c
hex9d995f0c

2644074252 has 96 divisors (see below), whose sum is σ = 6965145600. Its totient is φ = 878124240.

The previous prime is 2644074241. The next prime is 2644074269. The reversal of 2644074252 is 2524704462.

2644074252 is a `hidden beast` number, since 2 + 644 + 0 + 7 + 4 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×26440742522 = 13982257300178719008, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4189977 + ... + 4190607.

It is an arithmetic number, because the mean of its divisors is an integer number (72553600).

Almost surely, 22644074252 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 2644074252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482572800).

2644074252 is an abundant number, since it is smaller than the sum of its proper divisors (4321071348).

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

2644074252 is an equidigital number, since it uses as much as digits as its factorization.

2644074252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2644074252 is about 51420.5625406802. The cubic root of 2644074252 is about 1382.7952605102.

The spelling of 2644074252 in words is "two billion, six hundred forty-four million, seventy-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 479 486 631 729 958 972 1262 1437 1458 1893 1916 2187 2524 2874 2916 3786 4311 4374 5679 5748 7572 8622 8748 11358 12933 17037 17244 22716 25866 34074 38799 51111 51732 68148 77598 102222 116397 153333 155196 204444 232794 302249 306666 349191 459999 465588 604498 613332 698382 906747 919998 1047573 1208996 1379997 1396764 1813494 1839996 2095146 2720241 2759994 3626988 4190292 5440482 5519988 8160723 10880964 16321446 24482169 32642892 48964338 73446507 97928676 146893014 220339521 293786028 440679042 661018563 881358084 1322037126 2644074252