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249129056 = 2511707753
BaseRepresentation
bin11101101100101…
…10100001100000
3122100210001211002
432312112201200
51002234112211
640415411132
76113363531
oct1666264140
9570701732
10249129056
11118699390
126b523aa8
133c7c9157
1425130688
1516d1103b
hexed96860

249129056 has 24 divisors (see below), whose sum is σ = 535062024. Its totient is φ = 113240320.

The previous prime is 249129047. The next prime is 249129061. The reversal of 249129056 is 650921942.

It is a super-2 number, since 2×2491290562 = 124130573086902272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353525 + ... + 354228.

It is an arithmetic number, because the mean of its divisors is an integer number (22294251).

Almost surely, 2249129056 is an apocalyptic number.

It is an amenable number.

249129056 is an abundant number, since it is smaller than the sum of its proper divisors (285932968).

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

249129056 is a wasteful number, since it uses less digits than its factorization.

249129056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707774 (or 707766 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 249129056 is about 15783.8226041729. The cubic root of 249129056 is about 629.2281266647.

It can be divided in two parts, 2491 and 29056, that multiplied together give a triangular number (72378496 = T12031).

The spelling of 249129056 in words is "two hundred forty-nine million, one hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 707753 1415506 2831012 5662024 7785283 11324048 15570566 22648096 31141132 62282264 124564528 249129056