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507376896 = 2831389571
BaseRepresentation
bin11110001111011…
…111010100000000
31022100201102020220
4132033133110000
52014342030041
6122202503040
715400426635
oct3617372400
91270642226
10507376896
11240445854
12121b04a80
1381168a20
144b55618c
152e823d66
hex1e3df500

507376896 has 144 divisors (see below), whose sum is σ = 1473151680. Its totient is φ = 154091520.

The previous prime is 507376889. The next prime is 507376901. The reversal of 507376896 is 698673705.

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, 888291 + ... + 888861.

It is an arithmetic number, because the mean of its divisors is an integer number (10230220).

Almost surely, 2507376896 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 507376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840).

507376896 is an abundant number, since it is smaller than the sum of its proper divisors (965774784).

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

507376896 is a wasteful number, since it uses less digits than its factorization.

507376896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 507376896 is about 22525.0282130789. The cubic root of 507376896 is about 797.5848494805.

The spelling of 507376896 in words is "five hundred seven million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 178 192 208 256 267 312 356 384 416 534 571 624 712 768 832 1068 1142 1157 1248 1424 1664 1713 2136 2284 2314 2496 2848 3328 3426 3471 4272 4568 4628 4992 5696 6852 6942 7423 8544 9136 9256 9984 11392 13704 13884 14846 17088 18272 18512 22269 22784 27408 27768 29692 34176 36544 37024 44538 50819 54816 55536 59384 68352 73088 74048 89076 101638 109632 111072 118768 146176 148096 152457 178152 203276 219264 222144 237536 296192 304914 356304 406552 438528 444288 475072 609828 660647 712608 813104 888576 950144 1219656 1321294 1425216 1626208 1900288 1981941 2439312 2642588 2850432 3252416 3963882 4878624 5285176 5700864 6504832 7927764 9757248 10570352 13009664 15855528 19514496 21140704 31711056 39028992 42281408 63422112 84562816 126844224 169125632 253688448 507376896