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8254052352 = 2113272131937
BaseRepresentation
bin1111010111111101…
…01101100000000000
3210022020110022012200
413223332231200000
5113401014133402
63443012553200
7411354200400
oct75376554000
923266408180
108254052352
113556219777
121724322800
13a17074160
1458431a800
1533498021c
hex1ebfad800

8254052352 has 864 divisors, whose sum is σ = 32285962800. Its totient is φ = 2006581248.

The previous prime is 8254052341. The next prime is 8254052363. The reversal of 8254052352 is 2532504528.

It is a happy number.

8254052352 is a `hidden beast` number, since 8 + 254 + 0 + 52 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (8254052341) and next prime (8254052363).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 223082478 + ... + 223082514.

Almost surely, 28254052352 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 8254052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142981400).

8254052352 is an abundant number, since it is smaller than the sum of its proper divisors (24031910448).

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

8254052352 is a wasteful number, since it uses less digits than its factorization.

8254052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 8254052352 is about 90851.8153478509. The cubic root of 8254052352 is about 2020.9507950881.

The spelling of 8254052352 in words is "eight billion, two hundred fifty-four million, fifty-two thousand, three hundred fifty-two".