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196801752 = 23379471237
BaseRepresentation
bin10111011101011…
…11010011011000
3111201022120020210
423232233103120
5400340124002
631310051120
74606534020
oct1356572330
9451276223
10196801752
11a10a9084
1255aa9aa0
1331a07654
141c1cca80
151242696c
hexbbaf4d8

196801752 has 64 divisors (see below), whose sum is σ = 563339520. Its totient is φ = 56124288.

The previous prime is 196801751. The next prime is 196801769. The reversal of 196801752 is 257108691.

196801752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 196801752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196801751) 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 15 ways as a sum of consecutive naturals, for example, 158478 + ... + 159714.

It is an arithmetic number, because the mean of its divisors is an integer number (8802180).

Almost surely, 2196801752 is an apocalyptic number.

196801752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

196801752 is an abundant number, since it is smaller than the sum of its proper divisors (366537768).

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

196801752 is a wasteful number, since it uses less digits than its factorization.

196801752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 196801752 is about 14028.6047773825. The cubic root of 196801752 is about 581.6695376014.

The spelling of 196801752 in words is "one hundred ninety-six million, eight hundred one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 947 1237 1894 2474 2841 3711 3788 4948 5682 6629 7422 7576 8659 9896 11364 13258 14844 17318 19887 22728 25977 26516 29688 34636 39774 51954 53032 69272 79548 103908 159096 207816 1171439 2342878 3514317 4685756 7028634 8200073 9371512 14057268 16400146 24600219 28114536 32800292 49200438 65600584 98400876 196801752