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397385472 = 28311172767
BaseRepresentation
bin10111101011111…
…001111100000000
31000200202021101110
4113223321330000
51303212313342
6103233203320
712563502141
oct2753717400
91020667343
10397385472
1119434a650
12b1100540
1364437543
143aac3ac8
1524d48c9c
hex17af9f00

397385472 has 144 divisors (see below), whose sum is σ = 1222083072. Its totient is φ = 113295360.

The previous prime is 397385447. The next prime is 397385477. The reversal of 397385472 is 274583793.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397385477) 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, 142233 + ... + 144999.

It is an arithmetic number, because the mean of its divisors is an integer number (8486688).

Almost surely, 2397385472 is an apocalyptic number.

397385472 is a gapful number since it is divisible by the number (32) 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 397385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611041536).

397385472 is an abundant number, since it is smaller than the sum of its proper divisors (824697600).

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

397385472 is a wasteful number, since it uses less digits than its factorization.

397385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2800 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 397385472 is about 19934.5296408017. The cubic root of 397385472 is about 735.1974553950.

The spelling of 397385472 in words is "three hundred ninety-seven million, three hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2767 2816 2992 3264 4224 4352 4488 5534 5984 6528 8301 8448 8976 11068 11968 13056 16602 17952 22136 23936 30437 33204 35904 44272 47039 47872 60874 66408 71808 88544 91311 94078 121748 132816 141117 143616 177088 182622 188156 243496 265632 282234 354176 365244 376312 486992 517429 531264 564468 708352 730488 752624 973984 1034858 1062528 1128936 1460976 1505248 1552287 1947968 2069716 2125056 2257872 2921952 3010496 3104574 3895936 4139432 4515744 5843904 6020992 6209148 7791872 8278864 9031488 11687808 12041984 12418296 16557728 18062976 23375616 24836592 33115456 36125952 49673184 66230912 99346368 132461824 198692736 397385472