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7252643424 = 253135811413
BaseRepresentation
bin1101100000100101…
…01000111001100000
3200201110010110102010
412300102220321200
5104323134042144
63155401152520
7344504311005
oct66022507140
920643113363
107252643424
113091a23394
1214a4a8b740
138b77628b0
144cb3238ac
152c6ac15b9
hex1b04a8e60

7252643424 has 48 divisors (see below), whose sum is σ = 20502668592. Its totient is φ = 2231582208.

The previous prime is 7252643423. The next prime is 7252643443. The reversal of 7252643424 is 4243462527.

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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7252643423) by changing a digit.

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, 2904459 + ... + 2906954.

It is an arithmetic number, because the mean of its divisors is an integer number (427138929).

Almost surely, 27252643424 is an apocalyptic number.

It is an amenable number.

7252643424 is an abundant number, since it is smaller than the sum of its proper divisors (13250025168).

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

7252643424 is a wasteful number, since it uses less digits than its factorization.

7252643424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811439 (or 5811431 counting only the distinct ones).

The product of its digits is 322560, while the sum is 39.

The square root of 7252643424 is about 85162.4531351698. The cubic root of 7252643424 is about 1935.6735185865.

The spelling of 7252643424 in words is "seven billion, two hundred fifty-two million, six hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5811413 11622826 17434239 23245652 34868478 46491304 69736956 75548369 92982608 139473912 151096738 185965216 226645107 278947824 302193476 453290214 557895648 604386952 906580428 1208773904 1813160856 2417547808 3626321712 7252643424