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4496838672 = 243314173709
BaseRepresentation
bin1000011000000100…
…00101000000010000
3102121101121001222110
410030002011000100
533202142314142
62022114505320
7216302332554
oct41402050020
912541531873
104496838672
1119a83914a7
12a55b95240
1356883a8b1
14309325864
151b4bb699c
hex10c085010

4496838672 has 80 divisors (see below), whose sum is σ = 12284213760. Its totient is φ = 1415193600.

The previous prime is 4496838659. The next prime is 4496838677. The reversal of 4496838672 is 2768386944.

It is not an unprimeable number, because it can be changed into a prime (4496838677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24154 + ... + 97862.

It is an arithmetic number, because the mean of its divisors is an integer number (153552672).

Almost surely, 24496838672 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 4496838672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

4496838672 is an abundant number, since it is smaller than the sum of its proper divisors (7787375088).

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

4496838672 is a wasteful number, since it uses less digits than its factorization.

4496838672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73792 (or 73786 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The square root of 4496838672 is about 67058.4720374689. The cubic root of 4496838672 is about 1650.5769236909.

The spelling of 4496838672 in words is "four billion, four hundred ninety-six million, eight hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1271 1488 1968 2542 3813 5084 7626 10168 15252 20336 30504 61008 73709 147418 221127 294836 442254 589672 884508 1179344 1769016 2284979 3022069 3538032 4569958 6044138 6854937 9066207 9139916 12088276 13709874 18132414 18279832 24176552 27419748 36264828 36559664 48353104 54839496 72529656 93684139 109678992 145059312 187368278 281052417 374736556 562104834 749473112 1124209668 1498946224 2248419336 4496838672