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393257070 = 232522719249
BaseRepresentation
bin10111011100001…
…010000001101110
31000101222112021200
4113130022001232
51301133211240
6103004510330
712513426033
oct2734120156
91011875250
10393257070
11191a8a948
12ab84b3a6
13636203bb
143a32b38a
15247d0930
hex1770a06e

393257070 has 48 divisors (see below), whose sum is σ = 1027026000. Its totient is φ = 104401152.

The previous prime is 393257047. The next prime is 393257077. The reversal of 393257070 is 70752393.

It is a happy number.

It is a super-2 number, since 2×3932570702 = 309302246209969800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393257077) 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, 10806 + ... + 30054.

It is an arithmetic number, because the mean of its divisors is an integer number (21396375).

Almost surely, 2393257070 is an apocalyptic number.

393257070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 393257070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513513000).

393257070 is an abundant number, since it is smaller than the sum of its proper divisors (633768930).

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

393257070 is a wasteful number, since it uses less digits than its factorization.

393257070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19489 (or 19486 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 393257070 is about 19830.7102747229. The cubic root of 393257070 is about 732.6426207556.

The spelling of 393257070 in words is "three hundred ninety-three million, two hundred fifty-seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 227 454 681 1135 1362 2043 2270 3405 4086 6810 10215 19249 20430 38498 57747 96245 115494 173241 192490 288735 346482 577470 866205 1732410 4369523 8739046 13108569 21847615 26217138 39325707 43695230 65542845 78651414 131085690 196628535 393257070