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75990852 = 22337100517
BaseRepresentation
bin1001000011110…
…00011101000100
312021222201212000
410201320131010
5123423201402
611312425300
71611624450
oct441703504
9167881760
1075990852
1139993063
1221548230
1312988602
14a141660
156a10c1c
hex4878744

75990852 has 48 divisors (see below), whose sum is σ = 225160320. Its totient is φ = 21711456.

The previous prime is 75990851. The next prime is 75990857. The reversal of 75990852 is 25809957.

It is a happy number.

75990852 is a `hidden beast` number, since 7 + 599 + 0 + 8 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75990798 and 75990807.

It is not an unprimeable number, because it can be changed into a prime (75990851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49503 + ... + 51014.

It is an arithmetic number, because the mean of its divisors is an integer number (4690840).

Almost surely, 275990852 is an apocalyptic number.

It is an amenable number.

75990852 is an abundant number, since it is smaller than the sum of its proper divisors (149169468).

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

75990852 is a wasteful number, since it uses less digits than its factorization.

75990852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100537 (or 100529 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 75990852 is about 8717.2731975085. The cubic root of 75990852 is about 423.5653624303.

The spelling of 75990852 in words is "seventy-five million, nine hundred ninety thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 100517 201034 301551 402068 603102 703619 904653 1206204 1407238 1809306 2110857 2713959 2814476 3618612 4221714 5427918 6332571 8443428 10855836 12665142 18997713 25330284 37995426 75990852