Search a number
-
+
7053245024 = 257212793517
BaseRepresentation
bin1101001000110011…
…11111101001100000
3200012112220222020012
412210121333221200
5103421112320044
63123515304052
7336533410400
oct64431775140
920175828205
107053245024
112a9a411421
12144a14b028
13885359387
144aca5a800
152b433559e
hex1a467fa60

7053245024 has 72 divisors (see below), whose sum is σ = 16170416640. Its totient is φ = 3019597056.

The previous prime is 7053244997. The next prime is 7053245033. The reversal of 7053245024 is 4205423507.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2003714 + ... + 2007230.

It is an arithmetic number, because the mean of its divisors is an integer number (224589120).

Almost surely, 27053245024 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 7053245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085208320).

7053245024 is an abundant number, since it is smaller than the sum of its proper divisors (9117171616).

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

7053245024 is a wasteful number, since it uses less digits than its factorization.

7053245024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 7053245024 is about 83983.5997323287. The cubic root of 7053245024 is about 1917.7691305754.

The spelling of 7053245024 in words is "seven billion, fifty-three million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1279 1568 2558 3517 5116 7034 8953 10232 14068 17906 20464 24619 28136 35812 40928 49238 56272 62671 71624 98476 112544 125342 143248 172333 196952 250684 286496 344666 393904 501368 689332 787808 1002736 1378664 2005472 2757328 4498243 5514656 8996486 17992972 31487701 35985944 62975402 71971888 125950804 143943776 220413907 251901608 440827814 503803216 881655628 1007606432 1763311256 3526622512 7053245024