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251313342 = 237193110159
BaseRepresentation
bin11101111101010…
…11110010111110
3122111220001002120
432332223302332
51003314011332
640534303410
76141061650
oct1676536276
9574801076
10251313342
11119950485
12701b7b66
13400b2427
142553c6d0
15170e332c
hexefabcbe

251313342 has 64 divisors (see below), whose sum is σ = 624230400. Its totient is φ = 65823840.

The previous prime is 251313331. The next prime is 251313347. The reversal of 251313342 is 243313152.

251313342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251313347) 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, 19659 + ... + 29817.

It is an arithmetic number, because the mean of its divisors is an integer number (9753600).

Almost surely, 2251313342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251313342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312115200).

251313342 is an abundant number, since it is smaller than the sum of its proper divisors (372917058).

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

251313342 is a wasteful number, since it uses less digits than its factorization.

251313342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10221.

The product of its digits is 2160, while the sum is 24.

The square root of 251313342 is about 15852.8654192231. The cubic root of 251313342 is about 631.0617369897.

Adding to 251313342 its reverse (243313152), we get a palindrome (494626494).

The spelling of 251313342 in words is "two hundred fifty-one million, three hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 3534 4123 8246 10159 12369 20318 24738 30477 60954 71113 142226 193021 213339 314929 386042 426678 579063 629858 944787 1158126 1351147 1889574 2204503 2702294 4053441 4409006 5983651 6613509 8106882 11967302 13227018 17950953 35901906 41885557 83771114 125656671 251313342