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5857426260 = 22325710914261
BaseRepresentation
bin1010111010010000…
…10011101101010100
3120010012210002021100
411131020103231110
543444000120020
62405120550100
7265103205330
oct53510235524
916105702240
105857426260
112536401054
121175782330
1372469a0ca
143d7cd87c0
15244373a90
hex15d213b54

5857426260 has 144 divisors (see below), whose sum is σ = 20329126272. Its totient is φ = 1337299200.

The previous prime is 5857426259. The next prime is 5857426271. The reversal of 5857426260 is 626247585.

5857426260 is a `hidden beast` number, since 58 + 574 + 2 + 6 + 26 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372530 + ... + 1376790.

It is an arithmetic number, because the mean of its divisors is an integer number (141174488).

Almost surely, 25857426260 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 5857426260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164563136).

5857426260 is an abundant number, since it is smaller than the sum of its proper divisors (14471700012).

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

5857426260 is a wasteful number, since it uses less digits than its factorization.

5857426260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5857426260 is about 76533.8242870432. The cubic root of 5857426260 is about 1802.6120780082.

The spelling of 5857426260 in words is "five billion, eight hundred fifty-seven million, four hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1091 1260 2182 3273 4261 4364 5455 6546 7637 8522 9819 10910 12783 13092 15274 16365 17044 19638 21305 21820 22911 25566 29827 30548 32730 38185 38349 39276 42610 45822 49095 51132 59654 63915 65460 68733 76370 76698 85220 89481 91644 98190 114555 119308 127830 137466 149135 152740 153396 178962 191745 196380 229110 255660 268443 274932 298270 343665 357924 383490 447405 458220 536886 596540 687330 766980 894810 1073772 1342215 1374660 1789620 2684430 4648751 5368860 9297502 13946253 18595004 23243755 27892506 32541257 41838759 46487510 55785012 65082514 69731265 83677518 92975020 97623771 130165028 139462530 162706285 167355036 195247542 209193795 278925060 292871313 325412570 390495084 418387590 488118855 585742626 650825140 836775180 976237710 1171485252 1464356565 1952475420 2928713130 5857426260