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396352152 = 233271575009
BaseRepresentation
bin10111100111111…
…101101010011000
31000121210202221100
4113213331222120
51302431232102
6103155111400
712551636430
oct2747755230
91017722840
10396352152
11193804269
12b08a2560
1364165101
143a8d52c0
1524be2a1c
hex179fda98

396352152 has 96 divisors (see below), whose sum is σ = 1234864800. Its totient is φ = 112499712.

The previous prime is 396352139. The next prime is 396352153. The reversal of 396352152 is 251253693.

396352152 is a `hidden beast` number, since 3 + 9 + 635 + 2 + 15 + 2 = 666.

It is a super-2 number, since 2×3963521522 = 314190056790062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396352153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76624 + ... + 81632.

It is an arithmetic number, because the mean of its divisors is an integer number (12863175).

Almost surely, 2396352152 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 396352152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617432400).

396352152 is an abundant number, since it is smaller than the sum of its proper divisors (838512648).

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

396352152 is a wasteful number, since it uses less digits than its factorization.

396352152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5178 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 396352152 is about 19908.5949278195. The cubic root of 396352152 is about 734.5596584969.

The spelling of 396352152 in words is "three hundred ninety-six million, three hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 157 168 252 314 471 504 628 942 1099 1256 1413 1884 2198 2826 3297 3768 4396 5009 5652 6594 8792 9891 10018 11304 13188 15027 19782 20036 26376 30054 35063 39564 40072 45081 60108 70126 79128 90162 105189 120216 140252 180324 210378 280504 315567 360648 420756 631134 786413 841512 1262268 1572826 2359239 2524536 3145652 4718478 5504891 6291304 7077717 9436956 11009782 14155434 16514673 18873912 22019564 28310868 33029346 44039128 49544019 56621736 66058692 99088038 132117384 198176076 396352152