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397470752 = 2572298741
BaseRepresentation
bin10111101100001…
…110110000100000
31000200220121100222
4113230032300200
51303223031002
6103235102212
712564305600
oct2754166040
91020817328
10397470752
111943a8728
12b1141968
13644672c3
143ab06c00
1524d641a2
hex17b0ec20

397470752 has 72 divisors (see below), whose sum is σ = 941775660. Its totient is φ = 164451840.

The previous prime is 397470743. The next prime is 397470763. The reversal of 397470752 is 257074793.

It can be written as a sum of positive squares in 2 ways, for example, as 387459856 + 10010896 = 19684^2 + 3164^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41102 + ... + 49842.

Almost surely, 2397470752 is an apocalyptic number.

397470752 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 397470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470887830).

397470752 is an abundant number, since it is smaller than the sum of its proper divisors (544304908).

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

397470752 is a wasteful number, since it uses less digits than its factorization.

397470752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 44.

The square root of 397470752 is about 19936.6685281167. The cubic root of 397470752 is about 735.2500434226.

The spelling of 397470752 in words is "three hundred ninety-seven million, four hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 8741 11368 17482 22736 34964 45472 61187 69928 122374 139856 244748 253489 279712 428309 489496 506978 856618 978992 1013956 1713236 1774423 1957984 2027912 3426472 3548846 4055824 6852944 7097692 8111648 12420961 13705888 14195384 24841922 28390768 49683844 56781536 99367688 198735376 397470752