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251042112 = 26331311109
BaseRepresentation
bin11101111011010…
…01100101000000
3122111101021001000
432331221211000
51003231321422
640524412000
76135552126
oct1675514500
9574337030
10251042112
11119785722
12700a7000
1340018b39
14254ab916
151708ccac
hexef69940

251042112 has 112 divisors (see below), whose sum is σ = 744321600. Its totient is φ = 82967040.

The previous prime is 251042081. The next prime is 251042137. The reversal of 251042112 is 211240152.

251042112 is a `hidden beast` number, since 2 + 510 + 42 + 112 = 666.

251042112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225814 + ... + 226922.

Almost surely, 2251042112 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 251042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372160800).

251042112 is an abundant number, since it is smaller than the sum of its proper divisors (493279488).

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

251042112 is a wasteful number, since it uses less digits than its factorization.

251042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 251042112 is about 15844.3085049490. The cubic root of 251042112 is about 630.8346307454.

Adding to 251042112 its reverse (211240152), we get a palindrome (462282264).

The spelling of 251042112 in words is "two hundred fifty-one million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 131 144 192 216 262 288 393 432 524 576 786 864 1048 1109 1179 1572 1728 2096 2218 2358 3144 3327 3537 4192 4436 4716 6288 6654 7074 8384 8872 9432 9981 12576 13308 14148 17744 18864 19962 25152 26616 28296 29943 35488 37728 39924 53232 56592 59886 70976 75456 79848 106464 113184 119772 145279 159696 212928 226368 239544 290558 319392 435837 479088 581116 638784 871674 958176 1162232 1307511 1743348 1916352 2324464 2615022 3486696 3922533 4648928 5230044 6973392 7845066 9297856 10460088 13946784 15690132 20920176 27893568 31380264 41840352 62760528 83680704 125521056 251042112