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5758858240 = 21054432539
BaseRepresentation
bin1010101110100000…
…10011010000000000
3112212100022022100221
411113100103100000
543243231430430
62351240152424
7262465326112
oct52720232000
915770268327
105758858240
1124957a8483
121148768714
1370a138335
143c8b9b3b2
1523a8a357a
hex157413400

5758858240 has 88 divisors (see below), whose sum is σ = 13851148320. Its totient is φ = 2297438208.

The previous prime is 5758858213. The next prime is 5758858363. The reversal of 5758858240 is 428588575.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2266891 + ... + 2269429.

Almost surely, 25758858240 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 5758858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925574160).

5758858240 is an abundant number, since it is smaller than the sum of its proper divisors (8092290080).

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

5758858240 is a wasteful number, since it uses less digits than its factorization.

5758858240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 52.

The square root of 5758858240 is about 75887.1414667861. The cubic root of 5758858240 is about 1792.4434489284.

The spelling of 5758858240 in words is "five billion, seven hundred fifty-eight million, eight hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 443 512 640 886 1024 1280 1772 2215 2539 2560 3544 4430 5078 5120 7088 8860 10156 12695 14176 17720 20312 25390 28352 35440 40624 50780 56704 70880 81248 101560 113408 141760 162496 203120 226816 283520 324992 406240 453632 567040 649984 812480 1124777 1134080 1299968 1624960 2249554 2268160 2599936 3249920 4499108 5623885 6499840 8998216 11247770 12999680 17996432 22495540 35992864 44991080 71985728 89982160 143971456 179964320 287942912 359928640 575885824 719857280 1151771648 1439714560 2879429120 5758858240