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386820252 = 223371339359
BaseRepresentation
bin10111000011100…
…110100010011100
3222221212111122000
4113003212202130
51243011222002
6102214522300
712404626560
oct2703464234
9887774560
10386820252
11189393865
12a9666390
13621a8630
14395336a0
1523e5d61c
hex170e689c

386820252 has 96 divisors (see below), whose sum is σ = 1234329600. Its totient is φ = 102015936.

The previous prime is 386820229. The next prime is 386820257. The reversal of 386820252 is 252028683.

386820252 is a `hidden beast` number, since 386 + 8 + 20 + 252 = 666.

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 (386820257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9852 + ... + 29507.

It is an arithmetic number, because the mean of its divisors is an integer number (12857600).

Almost surely, 2386820252 is an apocalyptic number.

It is an amenable number.

386820252 is an abundant number, since it is smaller than the sum of its proper divisors (847509348).

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

386820252 is a wasteful number, since it uses less digits than its factorization.

386820252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39392 (or 39384 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 386820252 is about 19667.7464901295. The cubic root of 386820252 is about 728.6233214645.

The spelling of 386820252 in words is "three hundred eighty-six million, eight hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 39359 78718 118077 157436 236154 275513 354231 472308 511667 551026 708462 826539 1023334 1062693 1102052 1416924 1535001 1653078 2046668 2125386 2479617 3070002 3306156 3581669 4250772 4605003 4959234 6140004 7163338 7438851 9210006 9918468 10745007 13815009 14326676 14877702 18420012 21490014 27630018 29755404 32235021 42980028 55260036 64470042 96705063 128940084 193410126 386820252