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45349568 = 2611371741
BaseRepresentation
bin1010110011111…
…1101011000000
310011022222220122
42230333223000
543102141233
64255555412
71060315325
oct254775300
9104288818
1045349568
1123664890
121322bb68
13951a784
146046b4c
153eabd98
hex2b3fac0

45349568 has 56 divisors (see below), whose sum is σ = 100882704. Its totient is φ = 20044800.

The previous prime is 45349547. The next prime is 45349573. The reversal of 45349568 is 86594354.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25178 + ... + 26918.

Almost surely, 245349568 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 45349568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50441352).

45349568 is an abundant number, since it is smaller than the sum of its proper divisors (55533136).

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

45349568 is a wasteful number, since it uses less digits than its factorization.

45349568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1791 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 45349568 is about 6734.2087879721. The cubic root of 45349568 is about 356.6079751253.

The spelling of 45349568 in words is "forty-five million, three hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 148 176 296 352 407 592 704 814 1184 1628 1741 2368 3256 3482 6512 6964 13024 13928 19151 26048 27856 38302 55712 64417 76604 111424 128834 153208 257668 306416 515336 612832 708587 1030672 1225664 1417174 2061344 2834348 4122688 5668696 11337392 22674784 45349568