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196562976 = 25317432801
BaseRepresentation
bin10111011011101…
…01000000100000
3111200212102201020
423231311000200
5400310003401
631301005440
74604520621
oct1355650040
9450772636
10196562976
11a0a55745
12559b3880
1331952a6c
141c169a48
15123cad36
hexbb75020

196562976 has 96 divisors (see below), whose sum is σ = 559234368. Its totient is φ = 60211200.

The previous prime is 196562929. The next prime is 196562983. The reversal of 196562976 is 679265691.

196562976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 68776 + ... + 71576.

It is an arithmetic number, because the mean of its divisors is an integer number (5825358).

Almost surely, 2196562976 is an apocalyptic number.

196562976 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 196562976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279617184).

196562976 is an abundant number, since it is smaller than the sum of its proper divisors (362671392).

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

196562976 is a wasteful number, since it uses less digits than its factorization.

196562976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2866 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 196562976 is about 14020.0918684579. The cubic root of 196562976 is about 581.4341993614.

The spelling of 196562976 in words is "one hundred ninety-six million, five hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 68 86 96 102 129 136 172 204 258 272 344 408 516 544 688 731 816 1032 1376 1462 1632 2064 2193 2801 2924 4128 4386 5602 5848 8403 8772 11204 11696 16806 17544 22408 23392 33612 35088 44816 47617 67224 70176 89632 95234 120443 134448 142851 190468 240886 268896 285702 361329 380936 481772 571404 722658 761872 963544 1142808 1445316 1523744 1927088 2047531 2285616 2890632 3854176 4095062 4571232 5781264 6142593 8190124 11562528 12285186 16380248 24570372 32760496 49140744 65520992 98281488 196562976