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78869952 = 2632731631
BaseRepresentation
bin1001011001101…
…11010111000000
312111102000020100
410230313113000
5130142314302
611454242400
71645245360
oct454672700
9174360210
1078869952
114057a187
12224b6400
1313455c15
14a6909a0
156dcdd1c
hex4b375c0

78869952 has 168 divisors, whose sum is σ = 267118592. Its totient is φ = 21772800.

The previous prime is 78869939. The next prime is 78869957. The reversal of 78869952 is 25996887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78869957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 124677 + ... + 125307.

Almost surely, 278869952 is an apocalyptic number.

78869952 is a gapful number since it is divisible by the number (72) 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 78869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133559296).

78869952 is an abundant number, since it is smaller than the sum of its proper divisors (188248640).

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

78869952 is a wasteful number, since it uses less digits than its factorization.

78869952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 78869952 is about 8880.8756325038. The cubic root of 78869952 is about 428.8484639290.

The spelling of 78869952 in words is "seventy-eight million, eight hundred sixty-nine thousand, nine hundred fifty-two".