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397696752 = 2432191371061
BaseRepresentation
bin10111101101000…
…101111011110000
31000201100002101100
4113231011323300
51303302244002
6103244004400
712566236515
oct2755057360
91021302340
10397696752
11194542502
12b1230700
136451612b
143ab6530c
1524dab11c
hex17b45ef0

397696752 has 120 divisors (see below), whose sum is σ = 1181241360. Its totient is φ = 124554240.

The previous prime is 397696729. The next prime is 397696753. The reversal of 397696752 is 257696793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397696753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374302 + ... + 375362.

It is an arithmetic number, because the mean of its divisors is an integer number (9843678).

Almost surely, 2397696752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397696752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590620680).

397696752 is an abundant number, since it is smaller than the sum of its proper divisors (783544608).

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

397696752 is a wasteful number, since it uses less digits than its factorization.

397696752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The square root of 397696752 is about 19942.3356706280. The cubic root of 397696752 is about 735.3893702579.

The spelling of 397696752 in words is "three hundred ninety-seven million, six hundred ninety-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 137 144 152 171 228 274 304 342 411 456 548 684 822 912 1061 1096 1233 1368 1644 2122 2192 2466 2603 2736 3183 3288 4244 4932 5206 6366 6576 7809 8488 9549 9864 10412 12732 15618 16976 19098 19728 20159 20824 23427 25464 31236 38196 40318 41648 46854 50928 60477 62472 76392 80636 93708 120954 124944 145357 152784 161272 181431 187416 241908 290714 322544 362862 374832 436071 483816 581428 725724 872142 967632 1162856 1308213 1451448 1744284 2325712 2616426 2761783 2902896 3488568 5232852 5523566 6977136 8285349 10465704 11047132 16570698 20931408 22094264 24856047 33141396 44188528 49712094 66282792 99424188 132565584 198848376 397696752