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398637472 = 2523223549
BaseRepresentation
bin10111110000101…
…011100110100000
31000210002212210211
4113300223212200
51304022344342
6103320103504
712610235242
oct2760534640
91023085724
10398637472
11195025262
12b1604b94
136478537c
143ad2c092
1524ee4c17
hex17c2b9a0

398637472 has 36 divisors (see below), whose sum is σ = 820458450. Its totient is φ = 190644608.

The previous prime is 398637469. The next prime is 398637493. The reversal of 398637472 is 274736893.

It can be written as a sum of positive squares in only one way, i.e., 398561296 + 76176 = 19964^2 + 276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5154 + ... + 28702.

Almost surely, 2398637472 is an apocalyptic number.

398637472 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 398637472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410229225).

398637472 is an abundant number, since it is smaller than the sum of its proper divisors (421820978).

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

398637472 is a wasteful number, since it uses less digits than its factorization.

398637472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23605 (or 23574 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 49.

The square root of 398637472 is about 19965.9077429502. The cubic root of 398637472 is about 735.9687486731.

The spelling of 398637472 in words is "three hundred ninety-eight million, six hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 16928 23549 47098 94196 188392 376784 541627 753568 1083254 2166508 4333016 8666032 12457421 17332064 24914842 49829684 99659368 199318736 398637472