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197026656 = 25319109991
BaseRepresentation
bin10111011111001…
…10001101100000
3111201201222202120
423233212031200
5400414323111
631314544240
74611461511
oct1357461540
9451658676
10197026656
11a1242052
1255b98080
1331a85b28
141c24aa08
151246d406
hexbbe6360

197026656 has 96 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 61585920.

The previous prime is 197026631. The next prime is 197026663. The reversal of 197026656 is 656620791.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198321 + ... + 199311.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2197026656 is an apocalyptic number.

197026656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197026656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

197026656 is an abundant number, since it is smaller than the sum of its proper divisors (352938144).

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

197026656 is a wasteful number, since it uses less digits than its factorization.

197026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 197026656 is about 14036.6183961808. The cubic root of 197026656 is about 581.8910295386.

The spelling of 197026656 in words is "one hundred ninety-seven million, twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 109 114 152 218 228 304 327 436 456 608 654 872 912 991 1308 1744 1824 1982 2071 2616 2973 3488 3964 4142 5232 5946 6213 7928 8284 10464 11892 12426 15856 16568 18829 23784 24852 31712 33136 37658 47568 49704 56487 66272 75316 95136 99408 108019 112974 150632 198816 216038 225948 301264 324057 432076 451896 602528 648114 864152 903792 1296228 1728304 1807584 2052361 2592456 3456608 4104722 5184912 6157083 8209444 10369824 12314166 16418888 24628332 32837776 49256664 65675552 98513328 197026656