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196758528 = 2103193371
BaseRepresentation
bin10111011101001…
…00110000000000
3111201020100221220
423232210300000
5400332233103
631305115040
74606264011
oct1356446000
9451210856
10196758528
11a107965a
1255a88a80
13319c0a85
141c1bb008
1512418c53
hexbba4c00

196758528 has 88 divisors (see below), whose sum is σ = 552198720. Its totient is φ = 62115840.

The previous prime is 196758521. The next prime is 196758553. The reversal of 196758528 is 825857691.

196758528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (196758521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56683 + ... + 60053.

Almost surely, 2196758528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196758528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276099360).

196758528 is an abundant number, since it is smaller than the sum of its proper divisors (355440192).

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

196758528 is a wasteful number, since it uses less digits than its factorization.

196758528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3395 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 51.

The square root of 196758528 is about 14027.0641261812. The cubic root of 196758528 is about 581.6269500317.

It can be divided in two parts, 19675 and 8528, that added together give a triangular number (28203 = T237).

The spelling of 196758528 in words is "one hundred ninety-six million, seven hundred fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3371 3648 4864 6742 7296 9728 10113 13484 14592 19456 20226 26968 29184 40452 53936 58368 64049 80904 107872 128098 161808 192147 215744 256196 323616 384294 431488 512392 647232 768588 862976 1024784 1294464 1537176 1725952 2049568 2588928 3074352 3451904 4099136 5177856 6148704 8198272 10355712 12297408 16396544 24594816 32793088 49189632 65586176 98379264 196758528