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2551942152 = 233325745971
BaseRepresentation
bin1001100000011011…
…1000110000001000
320120211221002112000
42120012320300020
520211244122102
61101120551000
7120145102404
oct23006706010
96524832460
102551942152
11109a560a01
125b2782460
13318917856
141a2cd2104
15ee08b01c
hex981b8c08

2551942152 has 64 divisors (see below), whose sum is σ = 7116465600. Its totient is φ = 847319040.

The previous prime is 2551942121. The next prime is 2551942157. The reversal of 2551942152 is 2512491552.

2551942152 is a `hidden beast` number, since 2 + 551 + 94 + 2 + 15 + 2 = 666.

It is a super-2 number, since 2×25519421522 = 13024817494308782208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2551942157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32527 + ... + 78497.

It is an arithmetic number, because the mean of its divisors is an integer number (111194775).

Almost surely, 22551942152 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 2551942152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558232800).

2551942152 is an abundant number, since it is smaller than the sum of its proper divisors (4564523448).

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

2551942152 is a wasteful number, since it uses less digits than its factorization.

2551942152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46243 (or 46233 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 2551942152 is about 50516.7512019528. The cubic root of 2551942152 is about 1366.5439648184.

The spelling of 2551942152 in words is "two billion, five hundred fifty-one million, nine hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 514 771 1028 1542 2056 2313 3084 4626 6168 6939 9252 13878 18504 27756 45971 55512 91942 137913 183884 275826 367768 413739 551652 827478 1103304 1241217 1654956 2482434 3309912 4964868 9929736 11814547 23629094 35443641 47258188 70887282 94516376 106330923 141774564 212661846 283549128 318992769 425323692 637985538 850647384 1275971076 2551942152