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45348464 = 2471812237
BaseRepresentation
bin1010110011111…
…1011001110000
310011022221101202
42230333121300
543102122324
64255550332
71060312160
oct254773160
9104287352
1045348464
1123663a77
121322b3a8
13951a115
1460465a0
153eab8ae
hex2b3f670

45348464 has 40 divisors (see below), whose sum is σ = 101014368. Its totient is φ = 19319040.

The previous prime is 45348463. The next prime is 45348473. The reversal of 45348464 is 46484354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45348463) 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, 19154 + ... + 21390.

Almost surely, 245348464 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 45348464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50507184).

45348464 is an abundant number, since it is smaller than the sum of its proper divisors (55665904).

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

45348464 is a wasteful number, since it uses less digits than its factorization.

45348464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2427 counting only the distinct ones).

The product of its digits is 184320, while the sum is 38.

The square root of 45348464 is about 6734.1268179327. The cubic root of 45348464 is about 356.6050813204.

The spelling of 45348464 in words is "forty-five million, three hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1267 1448 2237 2534 2896 4474 5068 8948 10136 15659 17896 20272 31318 35792 62636 125272 250544 404897 809794 1619588 2834279 3239176 5668558 6478352 11337116 22674232 45348464