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397125184 = 26472532
BaseRepresentation
bin10111101010111…
…010011001000000
31000200021001100011
4113222322121000
51303131001214
6103223434304
712561336241
oct2752723100
91020231304
10397125184
11194192035
12b0bb5994
1364375c21
143aa56cc8
1524ce6ac4
hex17aba640

397125184 has 63 divisors (see below), whose sum is σ = 820647457. Its totient is φ = 190671104.

The previous prime is 397125173. The next prime is 397125187. The reversal of 397125184 is 481521793.

The square root of 397125184 is 19928.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 286286400 + 110838784 = 16920^2 + 10528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397125187) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7492902 + ... + 7492954.

Almost surely, 2397125184 is an apocalyptic number.

397125184 is the 19928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397125184

397125184 is an abundant number, since it is smaller than the sum of its proper divisors (423522273).

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

397125184 is an frugal number, since it uses more digits than its factorization.

397125184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 102 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The cubic root of 397125184 is about 735.0369019065.

The spelling of 397125184 in words is "three hundred ninety-seven million, one hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 53 64 94 106 188 212 376 424 752 848 1504 1696 2209 2491 2809 3008 3392 4418 4982 5618 8836 9964 11236 17672 19928 22472 35344 39856 44944 70688 79712 89888 117077 132023 141376 159424 179776 234154 264046 468308 528092 936616 1056184 1873232 2112368 3746464 4224736 6205081 7492928 8449472 12410162 24820324 49640648 99281296 198562592 397125184