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249792445 = 5725319237
BaseRepresentation
bin11101110001110…
…00011110111101
3122102000202211001
432320320132331
51002421324240
640441530301
76122125600
oct1670703675
9572022731
10249792445
11119001841
126b7a3991
133c99c0a6
1425264337
1516de289a
hexee387bd

249792445 has 24 divisors (see below), whose sum is σ = 355287384. Its totient is φ = 168045696.

The previous prime is 249792427. The next prime is 249792469. The reversal of 249792445 is 544297942.

It can be written as a sum of positive squares in 4 ways, for example, as 12201049 + 237591396 = 3493^2 + 15414^2 .

It is not a de Polignac number, because 249792445 - 29 = 249791933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 249792395 and 249792404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3367 + ... + 22603.

It is an arithmetic number, because the mean of its divisors is an integer number (14803641).

Almost surely, 2249792445 is an apocalyptic number.

It is an amenable number.

249792445 is a deficient number, since it is larger than the sum of its proper divisors (105494939).

249792445 is a wasteful number, since it uses less digits than its factorization.

249792445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19309 (or 19302 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 249792445 is about 15804.8234725985. The cubic root of 249792445 is about 629.7861414040.

The spelling of 249792445 in words is "two hundred forty-nine million, seven hundred ninety-two thousand, four hundred forty-five".

Divisors: 1 5 7 35 49 53 245 265 371 1855 2597 12985 19237 96185 134659 673295 942613 1019561 4713065 5097805 7136927 35684635 49958489 249792445