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7252533984 = 253372041817
BaseRepresentation
bin1101100000100100…
…01110001011100000
3200201102220220021210
412300102032023200
5104323122041414
63155354550120
7344503343643
oct66022161340
920642826253
107252533984
113091959143
1214a4a38340
138b7724b37
144cb2d5a5a
152c6a9de59
hex1b048e2e0

7252533984 has 48 divisors (see below), whose sum is σ = 19552449168. Its totient is φ = 2352172032.

The previous prime is 7252533973. The next prime is 7252533997. The reversal of 7252533984 is 4893352527.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 1017357 + ... + 1024460.

It is an arithmetic number, because the mean of its divisors is an integer number (407342691).

Almost surely, 27252533984 is an apocalyptic number.

7252533984 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

7252533984 is an abundant number, since it is smaller than the sum of its proper divisors (12299915184).

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

7252533984 is a wasteful number, since it uses less digits than its factorization.

7252533984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041867 (or 2041859 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 7252533984 is about 85161.8105960647. The cubic root of 7252533984 is about 1935.6637823122.

The spelling of 7252533984 in words is "seven billion, two hundred fifty-two million, five hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 2041817 4083634 6125451 8167268 12250902 16334536 24501804 32669072 49003608 65338144 75547229 98007216 151094458 196014432 226641687 302188916 453283374 604377832 906566748 1208755664 1813133496 2417511328 3626266992 7252533984