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397181952 = 2103271607
BaseRepresentation
bin10111101011001…
…000010000000000
31000200100221012200
4113223020100000
51303134310302
6103224553200
712561663606
oct2753102000
91020327180
10397181952
11194220752
12b1022800
1364395a0b
143aa6d876
1524d0881c
hex17ac8400

397181952 has 132 divisors (see below), whose sum is σ = 1164923136. Its totient is φ = 130314240.

The previous prime is 397181933. The next prime is 397181957. The reversal of 397181952 is 259181793.

It is a junction number, because it is equal to n+sod(n) for n = 397181898 and 397181907.

It is not an unprimeable number, because it can be changed into a prime (397181957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654033 + ... + 654639.

Almost surely, 2397181952 is an apocalyptic number.

397181952 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 397181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582461568).

397181952 is an abundant number, since it is smaller than the sum of its proper divisors (767741184).

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

397181952 is a wasteful number, since it uses less digits than its factorization.

397181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 683 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 397181952 is about 19929.4242766820. The cubic root of 397181952 is about 735.0719241014.

The spelling of 397181952 in words is "three hundred ninety-seven million, one hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 607 639 768 852 1024 1136 1152 1214 1278 1536 1704 1821 2272 2304 2428 2556 3072 3408 3642 4544 4608 4856 5112 5463 6816 7284 9088 9216 9712 10224 10926 13632 14568 18176 19424 20448 21852 27264 29136 36352 38848 40896 43097 43704 54528 58272 72704 77696 81792 86194 87408 109056 116544 129291 155392 163584 172388 174816 218112 233088 258582 310784 327168 344776 349632 387873 466176 517164 621568 654336 689552 699264 775746 932352 1034328 1379104 1398528 1551492 1864704 2068656 2758208 2797056 3102984 4137312 5516416 5594112 6205968 8274624 11032832 12411936 16549248 22065664 24823872 33098496 44131328 49647744 66196992 99295488 132393984 198590976 397181952