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45221664 = 253619761
BaseRepresentation
bin1010110010000…
…0011100100000
310011002111110110
42230200130200
543034043124
64253131320
71056243405
oct254403440
9104074413
1045221664
1123587784
1213189b40
1394a44a7
1460122ac
153e84029
hex2b20720

45221664 has 48 divisors (see below), whose sum is σ = 119054880. Its totient is φ = 15029760.

The previous prime is 45221663. The next prime is 45221669. The reversal of 45221664 is 46612254.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (45221663) 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, 59044 + ... + 59804.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 245221664 is an apocalyptic number.

It is an amenable number.

45221664 is an abundant number, since it is smaller than the sum of its proper divisors (73833216).

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

45221664 is a wasteful number, since it uses less digits than its factorization.

45221664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 45221664 is about 6724.7054954102. The cubic root of 45221664 is about 356.2724001920.

The spelling of 45221664 in words is "forty-five million, two hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 619 761 1238 1522 1857 2283 2476 3044 3714 4566 4952 6088 7428 9132 9904 12176 14856 18264 19808 24352 29712 36528 59424 73056 471059 942118 1413177 1884236 2826354 3768472 5652708 7536944 11305416 15073888 22610832 45221664