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397263552 = 26371947331
BaseRepresentation
bin10111101011011…
…100001011000000
31000200112002010220
4113223130023000
51303144413202
6103230423040
712562453530
oct2753341300
91020462126
10397263552
11194276a94
12b1061a80
13643c3bba
143aa914c0
1524d22abc
hex17adc2c0

397263552 has 224 divisors, whose sum is σ = 1295278080. Its totient is φ = 104924160.

The previous prime is 397263539. The next prime is 397263553. The reversal of 397263552 is 255362793.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (397263553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200027 + ... + 1200357.

Almost surely, 2397263552 is an apocalyptic number.

397263552 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 397263552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647639040).

397263552 is an abundant number, since it is smaller than the sum of its proper divisors (898014528).

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

397263552 is a wasteful number, since it uses less digits than its factorization.

397263552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its digits is 340200, while the sum is 42.

The square root of 397263552 is about 19931.4713957600. The cubic root of 397263552 is about 735.1222601933.

It can be divided in two parts, 3972 and 63552, that multiplied together give a square (252428544 = 158882).

The spelling of 397263552 in words is "three hundred ninety-seven million, two hundred sixty-three thousand, five hundred fifty-two".