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194957088 = 2531727027
BaseRepresentation
bin10111001111011…
…00111100100000
3111120211211211220
423213230330200
5344402111323
631202335040
74555052004
oct1347547440
9446754756
10194957088
11a0059167
125535a480
133150cb31
141bc6c704
15121b00e3
hexb9ecf20

194957088 has 72 divisors (see below), whose sum is σ = 543714192. Its totient is φ = 61154304.

The previous prime is 194957083. The next prime is 194957117. The reversal of 194957088 is 880759491.

It is a super-2 number, since 2×1949570882 = 76016532322879488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 194957088.

It is not an unprimeable number, because it can be changed into a prime (194957083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24231 + ... + 31257.

It is an arithmetic number, because the mean of its divisors is an integer number (7551586).

Almost surely, 2194957088 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 194957088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271857096).

194957088 is an abundant number, since it is smaller than the sum of its proper divisors (348757104).

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

194957088 is a wasteful number, since it uses less digits than its factorization.

194957088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 194957088 is about 13962.7034631550. The cubic root of 194957088 is about 579.8464595558.

The spelling of 194957088 in words is "one hundred ninety-four million, nine hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1632 1734 2312 3468 4624 6936 7027 9248 13872 14054 21081 27744 28108 42162 56216 84324 112432 119459 168648 224864 238918 337296 358377 477836 674592 716754 955672 1433508 1911344 2030803 2867016 3822688 4061606 5734032 6092409 8123212 11468064 12184818 16246424 24369636 32492848 48739272 64985696 97478544 194957088