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197916512 = 2541251601
BaseRepresentation
bin10111100101111…
…11011101100000
3111210102012102012
423302333131200
5401131312022
631350012052
74622156033
oct1362773540
9453365365
10197916512
11a179a672
1256347028
1332007b81
141c3dd01a
1512596de2
hexbcbf760

197916512 has 48 divisors (see below), whose sum is σ = 401408784. Its totient is φ = 96000000.

The previous prime is 197916479. The next prime is 197916517. The reversal of 197916512 is 215619791.

It is a super-2 number, since 2×1979165122 = 78341891444492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 197916512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197916517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329012 + ... + 329612.

It is an arithmetic number, because the mean of its divisors is an integer number (8362683).

Almost surely, 2197916512 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 197916512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200704392).

197916512 is an abundant number, since it is smaller than the sum of its proper divisors (203492272).

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

197916512 is a wasteful number, since it uses less digits than its factorization.

197916512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 895 counting only the distinct ones).

The product of its digits is 34020, while the sum is 41.

The square root of 197916512 is about 14068.2803497798. The cubic root of 197916512 is about 582.7657362930.

The spelling of 197916512 in words is "one hundred ninety-seven million, nine hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 251 328 502 601 656 1004 1202 1312 2008 2404 4016 4808 8032 9616 10291 19232 20582 24641 41164 49282 82328 98564 150851 164656 197128 301702 329312 394256 603404 788512 1206808 2413616 4827232 6184891 12369782 24739564 49479128 98958256 197916512