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45276049 = 72131737113
BaseRepresentation
bin1010110010110…
…1101110010001
310011012021001201
42230231232101
543042313144
64254231201
71056561100
oct254555621
9104167051
1045276049
1123614625
12131b5501
1394c3180
146028037
153e951d4
hex2b2db91

45276049 has 48 divisors (see below), whose sum is σ = 62224848. Its totient is φ = 32514048.

The previous prime is 45276043. The next prime is 45276067. The reversal of 45276049 is 94067254.

It can be written as a sum of positive squares in 8 ways, for example, as 960400 + 44315649 = 980^2 + 6657^2 .

It is not a de Polignac number, because 45276049 - 23 = 45276041 is a prime.

It is a super-2 number, since 2×452760492 = 4099841226100802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 45275999 and 45276017.

It is not an unprimeable number, because it can be changed into a prime (45276041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400617 + ... + 400729.

It is an arithmetic number, because the mean of its divisors is an integer number (1296351).

Almost surely, 245276049 is an apocalyptic number.

45276049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

45276049 is a deficient number, since it is larger than the sum of its proper divisors (16948799).

45276049 is a wasteful number, since it uses less digits than its factorization.

45276049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 45276049 is about 6728.7479518853. The cubic root of 45276049 is about 356.4151644530.

The spelling of 45276049 in words is "forty-five million, two hundred seventy-six thousand, forty-nine".

Divisors: 1 7 13 17 37 49 91 113 119 221 259 481 629 637 791 833 1469 1547 1813 1921 3367 4181 4403 5537 8177 10283 10829 13447 23569 24973 29267 30821 54353 57239 71077 71981 94129 174811 204869 380471 400673 497539 924001 1223677 2663297 3482773 6468007 45276049