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513899988 = 223771199433
BaseRepresentation
bin11110101000010…
…111110111010100
31022210222211020220
4132220113313110
52023024244423
6122554354340
715510035460
oct3650276724
91283884226
10513899988
112440a0738
1212412b9b0
1382610b44
144c3734a0
15301b19e3
hex1ea17dd4

513899988 has 96 divisors (see below), whose sum is σ = 1399910400. Its totient is φ = 143700480.

The previous prime is 513899963. The next prime is 513899999. The reversal of 513899988 is 889998315.

It is a super-3 number, since 3×5138999883 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186620 + ... + 1187052.

It is an arithmetic number, because the mean of its divisors is an integer number (14582400).

Almost surely, 2513899988 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 513899988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699955200).

513899988 is an abundant number, since it is smaller than the sum of its proper divisors (886010412).

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

513899988 is a wasteful number, since it uses less digits than its factorization.

513899988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 60.

The square root of 513899988 is about 22669.3623201007. The cubic root of 513899988 is about 800.9883555222.

The spelling of 513899988 in words is "five hundred thirteen million, eight hundred ninety-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 199 213 284 398 426 433 497 597 796 852 866 994 1194 1299 1393 1491 1732 1988 2388 2598 2786 2982 3031 4179 5196 5572 5964 6062 8358 9093 12124 14129 16716 18186 28258 30743 36372 42387 56516 61486 84774 86167 92229 98903 122972 169548 172334 184458 197806 215201 258501 296709 344668 368916 395612 430402 517002 593418 603169 645603 860804 1034004 1186836 1206338 1291206 1809507 2412676 2582412 3619014 6117857 7238028 12235714 18353571 24471428 36707142 42824999 73414284 85649998 128474997 171299996 256949994 513899988