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520672752 = 24331498089
BaseRepresentation
bin11111000010001…
…101010111110000
31100021201220202000
4133002031113300
52031243012002
6123355454000
715621434235
oct3702152760
91307656660
10520672752
112479a7166
12126457300
1383b427b2
144d21778c
1530a9d61c
hex1f08d5f0

520672752 has 80 divisors (see below), whose sum is σ = 1504740000. Its totient is φ = 172371456.

The previous prime is 520672741. The next prime is 520672771. The reversal of 520672752 is 257276025.

520672752 is a `hidden beast` number, since 520 + 67 + 2 + 75 + 2 = 666.

It is a super-2 number, since 2×5206727522 = 542200229350507008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60324 + ... + 68412.

It is an arithmetic number, because the mean of its divisors is an integer number (18809250).

Almost surely, 2520672752 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 520672752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752370000).

520672752 is an abundant number, since it is smaller than the sum of its proper divisors (984067248).

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

520672752 is a wasteful number, since it uses less digits than its factorization.

520672752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 520672752 is about 22818.2547974204. The cubic root of 520672752 is about 804.4917908998.

The spelling of 520672752 in words is "five hundred twenty million, six hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 149 216 298 432 447 596 894 1192 1341 1788 2384 2682 3576 4023 5364 7152 8046 8089 10728 16092 16178 21456 24267 32184 32356 48534 64368 64712 72801 97068 129424 145602 194136 218403 291204 388272 436806 582408 873612 1164816 1205261 1747224 2410522 3494448 3615783 4821044 7231566 9642088 10847349 14463132 19284176 21694698 28926264 32542047 43389396 57852528 65084094 86778792 130168188 173557584 260336376 520672752