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195531264 = 293242433
BaseRepresentation
bin10111010011110…
…01001000000000
3111121221000110200
423221321020000
5400024000024
631222525200
74562662665
oct1351711000
9447830420
10195531264
11a0410595
1255596800
1331681296
141bd7ba6c
15122752c9
hexba79200

195531264 has 60 divisors (see below), whose sum is σ = 564329766. Its totient is φ = 65175552.

The previous prime is 195531247. The next prime is 195531269. The reversal of 195531264 is 462135591.

It can be written as a sum of positive squares in only one way, i.e., 161798400 + 33732864 = 12720^2 + 5808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (195531269) 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 5 ways as a sum of consecutive naturals, for example, 16609 + ... + 25824.

Almost surely, 2195531264 is an apocalyptic number.

It is an amenable number.

195531264 is an abundant number, since it is smaller than the sum of its proper divisors (368798502).

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

195531264 is an equidigital number, since it uses as much as digits as its factorization.

195531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42457 (or 42438 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 195531264 is about 13983.2494077736. The cubic root of 195531264 is about 580.4151447165.

The spelling of 195531264 in words is "one hundred ninety-five million, five hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 42433 84866 127299 169732 254598 339464 381897 509196 678928 763794 1018392 1357856 1527588 2036784 2715712 3055176 4073568 5431424 6110352 8147136 10862848 12220704 16294272 21725696 24441408 32588544 48882816 65177088 97765632 195531264