Search a number
-
+
254238470256 = 24331346149367
BaseRepresentation
bin1110110011000111001…
…0110011000001110000
3220022020022112110021010
43230301302303001300
513131140022022011
6312443500430520
724240160224621
oct3546162630160
9808208473233
10254238470256
1198904a96731
1241333b48440
131ac89217064
14c43b6bda48
15692ee971a6
hex3b31cb3070

254238470256 has 80 divisors (see below), whose sum is σ = 678178879488. Its totient is φ = 81987052800.

The previous prime is 254238470251. The next prime is 254238470267. The reversal of 254238470256 is 652074832452.

It is a super-2 number, since 2×2542384702562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254238470251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5125285 + ... + 5174651.

Almost surely, 2254238470256 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 254238470256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339089439744).

254238470256 is an abundant number, since it is smaller than the sum of its proper divisors (423940409232).

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

254238470256 is a wasteful number, since it uses less digits than its factorization.

254238470256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52870 (or 52864 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 254238470256 in words is "two hundred fifty-four billion, two hundred thirty-eight million, four hundred seventy thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 3461 6922 10383 13844 20766 27688 41532 49367 55376 83064 98734 107291 148101 166128 197468 214582 296202 321873 394936 429164 592404 643746 789872 858328 1184808 1287492 1530377 1716656 2369616 2574984 3060754 4591131 5149968 6121508 9182262 12243016 18364524 24486032 36729048 73458096 170859187 341718374 512577561 683436748 1025155122 1366873496 2050310244 2733746992 4100620488 5296634797 8201240976 10593269594 15889904391 21186539188 31779808782 42373078376 63559617564 84746156752 127119235128 254238470256