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5358824256 = 263371674517
BaseRepresentation
bin1001111110110100…
…10010101101000000
3111211110120110220110
410333122102231000
541433324334011
62243430111320
7246540153222
oct47732225500
914743513813
105358824256
1122aaa09a85
1210567ab540
136752b4436
1438b9c8412
152156d4ba6
hex13f692b40

5358824256 has 112 divisors (see below), whose sum is σ = 14652199296. Its totient is φ = 1727207424.

The previous prime is 5358824249. The next prime is 5358824281. The reversal of 5358824256 is 6524288535.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184110 + ... + 1188626.

It is an arithmetic number, because the mean of its divisors is an integer number (130823208).

Almost surely, 25358824256 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 5358824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326099648).

5358824256 is an abundant number, since it is smaller than the sum of its proper divisors (9293375040).

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

5358824256 is a wasteful number, since it uses less digits than its factorization.

5358824256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4726 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 48.

The square root of 5358824256 is about 73203.9907108895. The cubic root of 5358824256 is about 1749.9400530213.

The spelling of 5358824256 in words is "five billion, three hundred fifty-eight million, eight hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 167 192 222 296 334 444 501 592 668 888 1002 1184 1336 1776 2004 2368 2672 3552 4008 4517 5344 6179 7104 8016 9034 10688 12358 13551 16032 18068 18537 24716 27102 32064 36136 37074 49432 54204 72272 74148 98864 108408 144544 148296 167129 197728 216816 289088 296592 334258 395456 433632 501387 593184 668516 754339 867264 1002774 1186368 1337032 1508678 2005548 2263017 2674064 3017356 4011096 4526034 5348128 6034712 8022192 9052068 10696256 12069424 16044384 18104136 24138848 27910543 32088768 36208272 48277696 55821086 72416544 83731629 111642172 144833088 167463258 223284344 334926516 446568688 669853032 893137376 1339706064 1786274752 2679412128 5358824256