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398609872 = 24232941911
BaseRepresentation
bin10111110000100…
…100110111010000
31000210001110221121
4113300210313100
51304021003442
6103315332024
712610061623
oct2760446720
91023043847
10398609872
11195006551
12b15b1014
136477593b
143ad21dba
1524edb967
hex17c24dd0

398609872 has 80 divisors (see below), whose sum is σ = 854945280. Its totient is φ = 179379200.

The previous prime is 398609821. The next prime is 398609879. The reversal of 398609872 is 278906893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398609879) 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, 437097 + ... + 438007.

It is an arithmetic number, because the mean of its divisors is an integer number (10686816).

Almost surely, 2398609872 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 398609872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

398609872 is an abundant number, since it is smaller than the sum of its proper divisors (456335408).

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

398609872 is a wasteful number, since it uses less digits than its factorization.

398609872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 398609872 is about 19965.2165527950. The cubic root of 398609872 is about 735.9517631430.

The spelling of 398609872 in words is "three hundred ninety-eight million, six hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 23 29 41 46 58 82 92 116 164 184 232 328 368 464 656 667 911 943 1189 1334 1822 1886 2378 2668 3644 3772 4756 5336 7288 7544 9512 10672 14576 15088 19024 20953 26419 27347 37351 41906 52838 54694 74702 83812 105676 109388 149404 167624 211352 218776 298808 335248 422704 437552 597616 607637 859073 1083179 1215274 1718146 2166358 2430548 3436292 4332716 4861096 6872584 8665432 9722192 13745168 17330864 24913117 49826234 99652468 199304936 398609872