Search a number
-
+
196442624 = 29759929
BaseRepresentation
bin10111011010101…
…11101000000000
3111200122022121202
423231113220000
5400242130444
631254240332
74603510010
oct1355275000
9450568552
10196442624
11a0983284
12559560a8
1331910051
141c137c40
15123a534e
hexbb57a00

196442624 has 80 divisors (see below), whose sum is σ = 456667200. Its totient is φ = 82673664.

The previous prime is 196442611. The next prime is 196442641. The reversal of 196442624 is 426244691.

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 7 ways as a sum of consecutive naturals, for example, 210992 + ... + 211920.

It is an arithmetic number, because the mean of its divisors is an integer number (5708340).

Almost surely, 2196442624 is an apocalyptic number.

196442624 is a gapful number since it is divisible by the number (14) 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 196442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228333600).

196442624 is an abundant number, since it is smaller than the sum of its proper divisors (260224576).

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

196442624 is an frugal number, since it uses more digits than its factorization.

196442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 997 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 196442624 is about 14015.7990853180. The cubic root of 196442624 is about 581.3155078749.

The spelling of 196442624 in words is "one hundred ninety-six million, four hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 413 448 472 512 826 896 929 944 1652 1792 1858 1888 3304 3584 3716 3776 6503 6608 7432 7552 13006 13216 14864 15104 26012 26432 29728 30208 52024 52864 54811 59456 104048 105728 109622 118912 208096 211456 219244 237824 383677 416192 438488 475648 767354 832384 876976 1534708 1664768 1753952 3069416 3329536 3507904 6138832 7015808 12277664 14031616 24555328 28063232 49110656 98221312 196442624