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4457525472 = 253313139383
BaseRepresentation
bin1000010011011000…
…00111000011100000
3102111122121202102000
410021230013003200
533112111303342
62014152124000
7215314225041
oct41154070340
912448552360
104457525472
11198817a954
12a44996600
1356065484a
143040108c8
151b14ed44c
hex109b070e0

4457525472 has 96 divisors (see below), whose sum is σ = 13100693760. Its totient is φ = 1474462080.

The previous prime is 4457525441. The next prime is 4457525473. The reversal of 4457525472 is 2745257544.

4457525472 is a `hidden beast` number, since 4 + 4 + 57 + 52 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457525473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93493 + ... + 132875.

It is an arithmetic number, because the mean of its divisors is an integer number (136465560).

Almost surely, 24457525472 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 4457525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550346880).

4457525472 is an abundant number, since it is smaller than the sum of its proper divisors (8643168288).

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

4457525472 is a wasteful number, since it uses less digits than its factorization.

4457525472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39533 (or 39519 counting only the distinct ones).

The product of its digits is 1568000, while the sum is 45.

The square root of 4457525472 is about 66764.7022909561. The cubic root of 4457525472 is about 1645.7528323685.

The spelling of 4457525472 in words is "four billion, four hundred fifty-seven million, five hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 131 144 216 262 288 393 432 524 786 864 1048 1179 1572 2096 2358 3144 3537 4192 4716 6288 7074 9432 12576 14148 18864 28296 37728 39383 56592 78766 113184 118149 157532 236298 315064 354447 472596 630128 708894 945192 1063341 1260256 1417788 1890384 2126682 2835576 3780768 4253364 5159173 5671152 8506728 10318346 11342304 15477519 17013456 20636692 30955038 34026912 41273384 46432557 61910076 82546768 92865114 123820152 139297671 165093536 185730228 247640304 278595342 371460456 495280608 557190684 742920912 1114381368 1485841824 2228762736 4457525472