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196597752 = 233131494229
BaseRepresentation
bin10111011011111…
…01011111111000
3111200221012102020
423231331133320
5400312112002
631301434440
74605024201
oct1355753770
9450835366
10196597752
11a0a7988a
1255a0ba20
1331965840
141c1785a8
15123d62bc
hexbb7d7f8

196597752 has 64 divisors (see below), whose sum is σ = 532980000. Its totient is φ = 60071424.

The previous prime is 196597729. The next prime is 196597759. The reversal of 196597752 is 257795691.

196597752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 196597695 and 196597704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196597759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44374 + ... + 48602.

Almost surely, 2196597752 is an apocalyptic number.

196597752 is a gapful number since it is divisible by the number (12) 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 196597752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266490000).

196597752 is an abundant number, since it is smaller than the sum of its proper divisors (336382248).

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

196597752 is a wasteful number, since it uses less digits than its factorization.

196597752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4396 counting only the distinct ones).

The product of its digits is 1190700, while the sum is 51.

The square root of 196597752 is about 14021.3320337263. The cubic root of 196597752 is about 581.4684865295.

The spelling of 196597752 in words is "one hundred ninety-six million, five hundred ninety-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 149 156 298 312 447 596 894 1192 1788 1937 3576 3874 4229 5811 7748 8458 11622 12687 15496 16916 23244 25374 33832 46488 50748 54977 101496 109954 164931 219908 329862 439816 630121 659724 1260242 1319448 1890363 2520484 3780726 5040968 7561452 8191573 15122904 16383146 24574719 32766292 49149438 65532584 98298876 196597752