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1097252352 = 29337172329
BaseRepresentation
bin100000101100110…
…1011111000000000
32211110200012021000
41001121223320000
54221344033402
6300513532000
736122330310
oct10131537000
92743605230
101097252352
11513408a29
12267574000
1314642b161
14a5a25440
15664e1c1c
hex4166be00

1097252352 has 640 divisors, whose sum is σ = 4242585600. Its totient is φ = 272498688.

The previous prime is 1097252341. The next prime is 1097252417. The reversal of 1097252352 is 2532527901.

1097252352 is a `hidden beast` number, since 10 + 9 + 72 + 523 + 52 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37836274 + ... + 37836302.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 21097252352 is an apocalyptic number.

1097252352 is a gapful number since it is divisible by the number (12) 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 1097252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

1097252352 is an abundant number, since it is smaller than the sum of its proper divisors (3145333248).

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

1097252352 is a wasteful number, since it uses less digits than its factorization.

1097252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1097252352 is about 33124.7996522243. The cubic root of 1097252352 is about 1031.4199011308.

The spelling of 1097252352 in words is "one billion, ninety-seven million, two hundred fifty-two thousand, three hundred fifty-two".