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7252906896 = 24324721512
BaseRepresentation
bin1101100000100111…
…01001001110010000
3200201110121211211100
412300103221032100
5104323221010041
63155410544400
7344506456104
oct66023511620
920643554740
107252906896
113092093334
1214a4b98100
138b78257b1
144cb391904
152c6b246b6
hex1b04e9390

7252906896 has 135 divisors (see below), whose sum is σ = 20877383163. Its totient is φ = 2350526400.

The previous prime is 7252906891. The next prime is 7252906901. The reversal of 7252906896 is 6986092527.

The square root of 7252906896 is 85164.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (7252906891) and next prime (7252906901).

It is not an unprimeable number, because it can be changed into a prime (7252906891) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48032421 + ... + 48032571.

Almost surely, 27252906896 is an apocalyptic number.

7252906896 is the 85164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7252906896

7252906896 is an abundant number, since it is smaller than the sum of its proper divisors (13624476267).

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

7252906896 is a wasteful number, since it uses less digits than its factorization.

7252906896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The cubic root of 7252906896 is about 1935.6969578379.

The spelling of 7252906896 in words is "seven billion, two hundred fifty-two million, nine hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 151 188 282 302 376 423 453 564 604 752 846 906 1128 1208 1359 1692 1812 2209 2256 2416 2718 3384 3624 4418 5436 6627 6768 7097 7248 8836 10872 13254 14194 17672 19881 21291 21744 22801 26508 28388 35344 39762 42582 45602 53016 56776 63873 68403 79524 85164 91204 106032 113552 127746 136806 159048 170328 182408 205209 255492 273612 318096 333559 340656 364816 410418 510984 547224 667118 820836 1000677 1021968 1071647 1094448 1334236 1641672 2001354 2143294 2668472 3002031 3214941 3283344 4002708 4286588 5336944 6004062 6429882 8005416 8573176 9644823 12008124 12859764 16010832 17146352 19289646 24016248 25719528 38579292 48032496 50367409 51439056 77158584 100734818 151102227 154317168 201469636 302204454 402939272 453306681 604408908 805878544 906613362 1208817816 1813226724 2417635632 3626453448 7252906896