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5438957760 = 26335629509
BaseRepresentation
bin1010001000010111…
…11110100011000000
3112001001100200102000
411010023332203000
542114333122020
62255411424000
7251532243465
oct50413764300
915031320360
105438957760
112341171515
1210795b5000
13688a90502
143984c766c
1521c763090
hex1442fe8c0

5438957760 has 112 divisors (see below), whose sum is σ = 19187464800. Its totient is φ = 1450386432.

The previous prime is 5438957749. The next prime is 5438957779. The reversal of 5438957760 is 677598345.

5438957760 is a `hidden beast` number, since 5 + 4 + 3 + 8 + 9 + 577 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5438957697 and 5438957706.

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, 306115 + ... + 323394.

It is an arithmetic number, because the mean of its divisors is an integer number (171316650).

Almost surely, 25438957760 is an apocalyptic number.

It is an amenable number.

5438957760 is an abundant number, since it is smaller than the sum of its proper divisors (13748507040).

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

5438957760 is a wasteful number, since it uses less digits than its factorization.

5438957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629535 (or 629519 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 5438957760 is about 73749.2898948864. The cubic root of 5438957760 is about 1758.6195442446.

The spelling of 5438957760 in words is "five billion, four hundred thirty-eight million, nine hundred fifty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 629509 1259018 1888527 2518036 3147545 3777054 5036072 5665581 6295090 7554108 9442635 10072144 11331162 12590180 15108216 16996743 18885270 20144288 22662324 25180360 28327905 30216432 33993486 37770540 40288576 45324648 50360720 56655810 60432864 67986972 75541080 84983715 90649296 100721440 113311620 120865728 135973944 151082160 169967430 181298592 201442880 226623240 271947888 302164320 339934860 362597184 453246480 543895776 604328640 679869720 906492960 1087791552 1359739440 1812985920 2719478880 5438957760