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397568080900 = 225217237092
BaseRepresentation
bin1011100100100001110…
…01110111110000000100
31102000012012111002011001
411302100321313300010
523003204412042100
6502350143423044
740503051633604
oct5622071676004
91360165432131
10397568080900
111436758a9601
12650748b4a84
132b64b858063
14153571d4c04
15a51d169d6a
hex5c90e77c04

397568080900 has 81 divisors (see below), whose sum is σ = 916703488029. Its totient is φ = 149632335360.

The previous prime is 397568080867. The next prime is 397568080927. The reversal of 397568080900 is 9080865793.

It is a happy number.

The square root of 397568080900 is 630530.

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

It can be written as a sum of positive squares in 13 ways, for example, as 234842975236 + 162725105664 = 484606^2 + 403392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107188246 + ... + 107191954.

Almost surely, 2397568080900 is an apocalyptic number.

397568080900 is the 630530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397568080900

397568080900 is an abundant number, since it is smaller than the sum of its proper divisors (519135407129).

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

397568080900 is an equidigital number, since it uses as much as digits as its factorization.

397568080900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 397568080900 in words is "three hundred ninety-seven billion, five hundred sixty-eight million, eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 3709 5780 7225 7418 14450 14836 18545 28900 37090 63053 74180 92725 126106 185450 252212 315265 370900 630530 1071901 1261060 1576325 2143802 3152650 4287604 5359505 6305300 10719010 13756681 21438020 26797525 27513362 53595050 55026724 68783405 107190100 137566810 233863577 275133620 343917025 467727154 687834050 935454308 1169317885 1375668100 2338635770 3975680809 4677271540 5846589425 7951361618 11693178850 15902723236 19878404045 23386357700 39756808090 79513616180 99392020225 198784040450 397568080900