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396269928 = 23331996557
BaseRepresentation
bin10111100111101…
…001100101101000
31000121122121011000
4113213221211220
51302421114203
6103153235000
712551144625
oct2747514550
91017577130
10396269928
1119375850a
12b0862a60
1364136862
143a8b334c
1524bc84a3
hex179e9968

396269928 has 64 divisors (see below), whose sum is σ = 1158696000. Its totient is φ = 125136576.

The previous prime is 396269927. The next prime is 396269933. The reversal of 396269928 is 829962693.

396269928 is a `hidden beast` number, since 3 + 9 + 626 + 9 + 9 + 2 + 8 = 666.

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 (396269927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44175 + ... + 52382.

It is an arithmetic number, because the mean of its divisors is an integer number (18104625).

Almost surely, 2396269928 is an apocalyptic number.

396269928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

396269928 is an abundant number, since it is smaller than the sum of its proper divisors (762426072).

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

396269928 is a wasteful number, since it uses less digits than its factorization.

396269928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96591 (or 96581 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 396269928 is about 19906.5297829632. The cubic root of 396269928 is about 734.5088597227.

The spelling of 396269928 in words is "three hundred ninety-six million, two hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 96557 193114 289671 386228 579342 772456 869013 1158684 1738026 1834583 2317368 2607039 3476052 3669166 5214078 5503749 6952104 7338332 10428156 11007498 14676664 16511247 20856312 22014996 33022494 44029992 49533741 66044988 99067482 132089976 198134964 396269928