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5305059408 = 2431137271553
BaseRepresentation
bin1001111000011010…
…01100100001010000
3111200201101221101210
410330031030201100
541331043400113
62234225500120
7245315155335
oct47415144120
914621357353
105305059408
112282627720
1210407a1640
1366710b50c
143847d098c
15210b146c3
hex13c34c850

5305059408 has 80 divisors (see below), whose sum is σ = 15354749376. Its totient is φ = 1564139520.

The previous prime is 5305059343. The next prime is 5305059421. The reversal of 5305059408 is 8049505035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116241 + ... + 155312.

Almost surely, 25305059408 is an apocalyptic number.

It is an amenable number.

5305059408 is an abundant number, since it is smaller than the sum of its proper divisors (10049689968).

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

5305059408 is a wasteful number, since it uses less digits than its factorization.

5305059408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271612 (or 271606 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 5305059408 is about 72835.8387608738. The cubic root of 5305059408 is about 1744.0680138585.

The spelling of 5305059408 in words is "five billion, three hundred five million, fifty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 271553 543106 814659 1086212 1629318 2172424 2987083 3258636 4344848 5974166 6517272 8961249 10047461 11948332 13034544 17922498 20094922 23896664 30142383 35844996 40189844 47793328 60284766 71689992 80379688 110522071 120569532 143379984 160759376 221044142 241139064 331566213 442088284 482278128 663132426 884176568 1326264852 1768353136 2652529704 5305059408