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194930976 = 25317313853
BaseRepresentation
bin10111001111001…
…10100100100000
3111120210112000210
423213212210200
5344400242401
631202014120
74554612612
oct1347464440
9446715023
10194930976
11a0040589
1255347340
1331500c96
141bc62db2
15121a74d6
hexb9e6920

194930976 has 96 divisors (see below), whose sum is σ = 559415808. Its totient is φ = 59166720.

The previous prime is 194930969. The next prime is 194931001. The reversal of 194930976 is 679039491.

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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48666 + ... + 52518.

It is an arithmetic number, because the mean of its divisors is an integer number (5827248).

Almost surely, 2194930976 is an apocalyptic number.

194930976 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 194930976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279707904).

194930976 is an abundant number, since it is smaller than the sum of its proper divisors (364484832).

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

194930976 is a wasteful number, since it uses less digits than its factorization.

194930976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 194930976 is about 13961.7683693721. The cubic root of 194930976 is about 579.8205707359.

The spelling of 194930976 in words is "one hundred ninety-four million, nine hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 3853 4216 6324 7706 8432 11559 12648 15412 16864 23118 25296 30824 46236 50592 61648 65501 92472 119443 123296 131002 184944 196503 238886 262004 358329 369888 393006 477772 524008 716658 786012 955544 1048016 1433316 1572024 1911088 2030531 2096032 2866632 3144048 3822176 4061062 5733264 6091593 6288096 8122124 11466528 12183186 16244248 24366372 32488496 48732744 64976992 97465488 194930976