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397993536 = 26325313037
BaseRepresentation
bin10111101110001…
…110011001000000
31000201220011111100
4113232032121000
51303341243121
6103254214400
712601614003
oct2756163100
91021804440
10397993536
11194725486
12b1354400
13645bb245
143ac0153a
1524e19026
hex17b8e640

397993536 has 84 divisors (see below), whose sum is σ = 1162389852. Its totient is φ = 130151424.

The previous prime is 397993523. The next prime is 397993559. The reversal of 397993536 is 635399793.

397993536 is a `hidden beast` number, since 39 + 79 + 9 + 3 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278222400 + 119771136 = 16680^2 + 10944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24010 + ... + 37046.

Almost surely, 2397993536 is an apocalyptic number.

397993536 is a gapful number since it is divisible by the number (36) 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 397993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581194926).

397993536 is an abundant number, since it is smaller than the sum of its proper divisors (764396316).

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

397993536 is a wasteful number, since it uses less digits than its factorization.

397993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13095 counting only the distinct ones).

The product of its digits is 4133430, while the sum is 54.

The square root of 397993536 is about 19949.7753370809. The cubic root of 397993536 is about 735.5722546035.

The spelling of 397993536 in words is "three hundred ninety-seven million, nine hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 13037 15264 26074 30528 39111 52148 78222 104296 117333 156444 208592 234666 312888 417184 469332 625776 690961 834368 938664 1251552 1381922 1877328 2072883 2503104 2763844 3754656 4145766 5527688 6218649 7509312 8291532 11055376 12437298 16583064 22110752 24874596 33166128 44221504 49749192 66332256 99498384 132664512 198996768 397993536