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507696048 = 243217092063
BaseRepresentation
bin11110010000101…
…101001110110000
31022101022122001100
4132100231032300
52014432233143
6122213404400
715403226256
oct3620551660
91271278040
10507696048
11240643612
12122039700
138124b082
144b5da5d6
152e8886d3
hex1e42d3b0

507696048 has 60 divisors (see below), whose sum is σ = 1422364320. Its totient is φ = 169051008.

The previous prime is 507696029. The next prime is 507696053. The reversal of 507696048 is 840696705.

It is a junction number, because it is equal to n+sod(n) for n = 507695994 and 507696012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245065 + ... + 247127.

It is an arithmetic number, because the mean of its divisors is an integer number (23706072).

Almost surely, 2507696048 is an apocalyptic number.

It is an amenable number.

507696048 is an abundant number, since it is smaller than the sum of its proper divisors (914668272).

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

507696048 is a wasteful number, since it uses less digits than its factorization.

507696048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3777 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 507696048 is about 22532.1114856109. Note that the first 3 decimals coincide. The cubic root of 507696048 is about 797.7520476375.

It can be divided in two parts, 5076 and 96048, that added together give a square (101124 = 3182).

The spelling of 507696048 in words is "five hundred seven million, six hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1709 2063 3418 4126 5127 6189 6836 8252 10254 12378 13672 15381 16504 18567 20508 24756 27344 30762 33008 37134 41016 49512 61524 74268 82032 99024 123048 148536 246096 297072 3525667 7051334 10577001 14102668 21154002 28205336 31731003 42308004 56410672 63462006 84616008 126924012 169232016 253848024 507696048