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196978824 = 23337237503
BaseRepresentation
bin10111011110110…
…10100010001000
3111201122120011000
423233122202020
5400411310244
631313535000
74611202200
oct1357324210
9451576130
10196978824
11a120a119
1255b74460
1331a6a123
141c237400
151245e169
hexbbda888

196978824 has 192 divisors, whose sum is σ = 654998400. Its totient is φ = 54649728.

The previous prime is 196978823. The next prime is 196978849. The reversal of 196978824 is 428879691.

196978824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (196978823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391357 + ... + 391859.

It is an arithmetic number, because the mean of its divisors is an integer number (3411450).

Almost surely, 2196978824 is an apocalyptic number.

196978824 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 196978824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

196978824 is an abundant number, since it is smaller than the sum of its proper divisors (458019576).

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

196978824 is a wasteful number, since it uses less digits than its factorization.

196978824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 552 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 196978824 is about 14034.9144635797. The cubic root of 196978824 is about 581.8439373246.

The spelling of 196978824 in words is "one hundred ninety-six million, nine hundred seventy-eight thousand, eight hundred twenty-four".