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249041531 = 19293591259
BaseRepresentation
bin11101101100000…
…01001001111011
3122100121121202102
432312001021323
51002223312111
640413454015
76112550414
oct1666011173
9570547672
10249041531
11118639652
126b4a130b
133c79836b
142510a80b
1516ce513b
hexed8127b

249041531 has 16 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 226983456.

The previous prime is 249041521. The next prime is 249041543. The reversal of 249041531 is 135140942.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-249041531 is a prime.

It is a super-2 number, since 2×2490415312 = 124043368325647922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 249041494 and 249041503.

It is not an unprimeable number, because it can be changed into a prime (249041501) 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, 197180 + ... + 198438.

It is an arithmetic number, because the mean of its divisors is an integer number (17010000).

Almost surely, 2249041531 is an apocalyptic number.

249041531 is the 7058-th centered decagonal number.

249041531 is a deficient number, since it is larger than the sum of its proper divisors (23118469).

249041531 is a wasteful number, since it uses less digits than its factorization.

249041531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 249041531 is about 15781.0497432839. The cubic root of 249041531 is about 629.1544304001.

The spelling of 249041531 in words is "two hundred forty-nine million, forty-one thousand, five hundred thirty-one".

Divisors: 1 19 29 359 551 1259 6821 10411 23921 36511 197809 451981 693709 8587639 13107449 249041531