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45092512 = 2523197311
BaseRepresentation
bin1010110000000…
…0111010100000
310010211221022001
42230000322200
543020430022
64250253344
71055165023
oct254007240
9103757261
1045092512
11234a9743
1213127254
13945a77a
145dbb1ba
153e5ab27
hex2b00ea0

45092512 has 48 divisors (see below), whose sum is σ = 93405312. Its totient is φ = 21387520.

The previous prime is 45092471. The next prime is 45092519. The reversal of 45092512 is 21529054.

It is not an unprimeable number, because it can be changed into a prime (45092519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144837 + ... + 145147.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 245092512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45092512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

45092512 is an abundant number, since it is smaller than the sum of its proper divisors (48312800).

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

45092512 is a wasteful number, since it uses less digits than its factorization.

45092512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 45092512 is about 6715.0958295470. The cubic root of 45092512 is about 355.9329082842.

It can be divided in two parts, 4509 and 2512, that added together give a triangular number (7021 = T118).

The spelling of 45092512 in words is "forty-five million, ninety-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 197 311 368 394 622 736 788 1244 1576 2488 3152 4531 4976 6304 7153 9062 9952 14306 18124 28612 36248 57224 61267 72496 114448 122534 144992 228896 245068 490136 980272 1409141 1960544 2818282 5636564 11273128 22546256 45092512