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507472992 = 25331345181
BaseRepresentation
bin11110001111110…
…110110001100000
31022100220022002000
4132033312301200
52014403113432
6122204524000
715401310045
oct3617666140
91270808060
10507472992
11240500a74
12121b50600
13811a06a0
144b57d1cc
152e84257c
hex1e3f6c60

507472992 has 96 divisors (see below), whose sum is σ = 1594020960. Its totient is φ = 156142080.

The previous prime is 507472963. The next prime is 507473003. The reversal of 507472992 is 299274705.

It is a tau number, because it is divible by the number of its divisors (96).

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, 11359 + ... + 33822.

It is an arithmetic number, because the mean of its divisors is an integer number (16604385).

Almost surely, 2507472992 is an apocalyptic number.

507472992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

507472992 is an abundant number, since it is smaller than the sum of its proper divisors (1086547968).

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

507472992 is a wasteful number, since it uses less digits than its factorization.

507472992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45213 (or 45199 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 507472992 is about 22527.1612059753. The cubic root of 507472992 is about 797.6351998716.

The spelling of 507472992 in words is "five hundred seven million, four hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 45181 90362 135543 180724 271086 361448 406629 542172 587353 722896 813258 1084344 1174706 1219887 1445792 1626516 1762059 2168688 2349412 2439774 3253032 3524118 4337376 4698824 4879548 5286177 6506064 7048236 9397648 9759096 10572354 13012128 14096472 15858531 18795296 19518192 21144708 28192944 31717062 39036384 42289416 56385888 63434124 84578832 126868248 169157664 253736496 507472992