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249376407 = 3747307823
BaseRepresentation
bin11101101110100…
…10111010010111
3122101020122010020
432313102322113
51002320021112
640425000223
76115443630
oct1667227227
9571218106
10249376407
11118848205
126b623073
133c884907
1425196887
1516d5e48c
hexedd2e97

249376407 has 32 divisors (see below), whose sum is σ = 389824512. Its totient is φ = 138845664.

The previous prime is 249376397. The next prime is 249376429. The reversal of 249376407 is 704673942.

It is not a de Polignac number, because 249376407 - 28 = 249376151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249376507) 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, 302598 + ... + 303420.

It is an arithmetic number, because the mean of its divisors is an integer number (12182016).

Almost surely, 2249376407 is an apocalyptic number.

249376407 is the 12894-th pentagonal number.

249376407 is a deficient number, since it is larger than the sum of its proper divisors (140448105).

249376407 is a wasteful number, since it uses less digits than its factorization.

249376407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187.

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 249376407 is about 15791.6562462587. The cubic root of 249376407 is about 629.4363035396.

The spelling of 249376407 in words is "two hundred forty-nine million, three hundred seventy-six thousand, four hundred seven".

Divisors: 1 3 7 21 47 141 307 329 823 921 987 2149 2469 5761 6447 14429 17283 38681 43287 101003 116043 252661 270767 303009 757983 812301 1768627 5305881 11875067 35625201 83125469 249376407