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379468152 = 233472171937
BaseRepresentation
bin10110100111100…
…011100101111000
3222110000222110000
4112213203211320
51234120440102
6101353153000
712255266100
oct2647434570
9873028400
10379468152
11185222048
12a70bb760
136080308b
143857c200
15234aa01c
hex169e3978

379468152 has 480 divisors, whose sum is σ = 1415264400. Its totient is φ = 94058496.

The previous prime is 379468151. The next prime is 379468157. The reversal of 379468152 is 251864973.

379468152 is a `hidden beast` number, since 37 + 9 + 468 + 152 = 666.

Its product of digits (362880) is a multiple of the sum of its prime factors (105).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 379468098 and 379468107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379468151) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10255878 + ... + 10255914.

Almost surely, 2379468152 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 379468152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707632200).

379468152 is an abundant number, since it is smaller than the sum of its proper divisors (1035796248).

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

379468152 is a wasteful number, since it uses less digits than its factorization.

379468152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 379468152 is about 19479.9422997092. The cubic root of 379468152 is about 723.9775691798.

The spelling of 379468152 in words is "three hundred seventy-nine million, four hundred sixty-eight thousand, one hundred fifty-two".