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398949488352 = 2533751614843
BaseRepresentation
bin1011100111000110011…
…11100001011011100000
31102010202110211211221000
411303203033201123200
523014022032111402
6503135212032000
740552224461562
oct5634317413340
91363673754830
10398949488352
11144214649458
126539b462600
132b80bac6c0c
1415448867332
15a59e58ac1c
hex5ce33e16e0

398949488352 has 96 divisors (see below), whose sum is σ = 1165153973760. Its totient is φ = 132805872000.

The previous prime is 398949488281. The next prime is 398949488381. The reversal of 398949488352 is 253884949893.

398949488352 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 494 + 8 + 83 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341443 + ... + 956285.

It is an arithmetic number, because the mean of its divisors is an integer number (12137020560).

Almost surely, 2398949488352 is an apocalyptic number.

398949488352 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 398949488352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582576986880).

398949488352 is an abundant number, since it is smaller than the sum of its proper divisors (766204485408).

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

398949488352 is a wasteful number, since it uses less digits than its factorization.

398949488352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615613 (or 615599 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 398949488352 in words is "three hundred ninety-eight billion, nine hundred forty-nine million, four hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 751 864 1502 2253 3004 4506 6008 6759 9012 12016 13518 18024 20277 24032 27036 36048 40554 54072 72096 81108 108144 162216 216288 324432 614843 648864 1229686 1844529 2459372 3689058 4918744 5533587 7378116 9837488 11067174 14756232 16600761 19674976 22134348 29512464 33201522 44268696 59024928 66403044 88537392 132806088 177074784 265612176 461747093 531224352 923494186 1385241279 1846988372 2770482558 3693976744 4155723837 5540965116 7387953488 8311447674 11081930232 12467171511 14775906976 16622895348 22163860464 24934343022 33245790696 44327720928 49868686044 66491581392 99737372088 132983162784 199474744176 398949488352