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5707417584 = 2431114972547
BaseRepresentation
bin1010101000011000…
…00100011111110000
3112201202111212001110
411110030010133300
543142044330314
62342201433320
7261302151261
oct52414043760
915652455043
105707417584
112469763340
12113349b840
136cc59728b
143c200a968
152360e1a59
hex1543047f0

5707417584 has 80 divisors (see below), whose sum is σ = 16192713600. Its totient is φ = 1717889280.

The previous prime is 5707417577. The next prime is 5707417589. The reversal of 5707417584 is 4857147075.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5707417589) 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, 42399 + ... + 114945.

It is an arithmetic number, because the mean of its divisors is an integer number (202408920).

Almost surely, 25707417584 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 5707417584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096356800).

5707417584 is an abundant number, since it is smaller than the sum of its proper divisors (10485296016).

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

5707417584 is a wasteful number, since it uses less digits than its factorization.

5707417584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72718 (or 72712 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The square root of 5707417584 is about 75547.4525315050. The cubic root of 5707417584 is about 1787.0905143416.

The spelling of 5707417584 in words is "five billion, seven hundred seven million, four hundred seventeen thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 894 1192 1639 1788 2384 3278 3576 4917 6556 7152 9834 13112 19668 26224 39336 72547 78672 145094 217641 290188 435282 580376 798017 870564 1160752 1596034 1741128 2394051 3192068 3482256 4788102 6384136 9576204 10809503 12768272 19152408 21619006 32428509 38304816 43238012 64857018 86476024 118904533 129714036 172952048 237809066 259428072 356713599 475618132 518856144 713427198 951236264 1426854396 1902472528 2853708792 5707417584