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520148992 = 2111122099
BaseRepresentation
bin11111000000001…
…101100000000000
31100020202022021111
4133000031200000
52031124231432
6123340333104
715614123236
oct3700154000
91306668244
10520148992
11247679700
12126244194
13839bb28c
144d11c956
15309e8347
hex1f00d800

520148992 has 72 divisors (see below), whose sum is σ = 1143733500. Its totient is φ = 236318720.

The previous prime is 520148987. The next prime is 520149029. The reversal of 520148992 is 299841025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246759 + ... + 248857.

Almost surely, 2520148992 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 520148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571866750).

520148992 is an abundant number, since it is smaller than the sum of its proper divisors (623584508).

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

520148992 is a wasteful number, since it uses less digits than its factorization.

520148992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 520148992 is about 22806.7751337185. The cubic root of 520148992 is about 804.2219464315.

The spelling of 520148992 in words is "five hundred twenty million, one hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2099 2816 3872 4198 5632 7744 8396 11264 15488 16792 22528 23089 30976 33584 46178 61952 67168 92356 123904 134336 184712 247808 253979 268672 369424 507958 537344 738848 1015916 1074688 1477696 2031832 2149376 2955392 4063664 4298752 5910784 8127328 11821568 16254656 23643136 32509312 47286272 65018624 130037248 260074496 520148992