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251242992 = 243372111383
BaseRepresentation
bin11101111100110…
…10100111110000
3122111202110121000
432332122213300
51003304233432
640533002000
76140346600
oct1676324760
9574673530
10251242992
11119902640
1270183300
13400893c0
1425520c00
15170cc57c
hexef9a9f0

251242992 has 480 divisors, whose sum is σ = 997436160. Its totient is φ = 59512320.

The previous prime is 251242991. The next prime is 251242993. The reversal of 251242992 is 299242152.

It is an interprime number because it is at equal distance from previous prime (251242991) and next prime (251242993).

It is a super-2 number, since 2×2512429922 = 126246082058224128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251242991) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3026983 + ... + 3027065.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2251242992 is an apocalyptic number.

251242992 is a gapful number since it is divisible by the number (22) 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 251242992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498718080).

251242992 is an abundant number, since it is smaller than the sum of its proper divisors (746193168).

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

251242992 is a wasteful number, since it uses less digits than its factorization.

251242992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 251242992 is about 15850.6464221495. The cubic root of 251242992 is about 631.0028472441.

The spelling of 251242992 in words is "two hundred fifty-one million, two hundred forty-two thousand, nine hundred ninety-two".