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45293424 = 24311109787
BaseRepresentation
bin1010110011000…
…1111101110000
310011020010220020
42230301331300
543043342144
64254443440
71056662541
oct254617560
9104203806
1045293424
1123626690
1213203580
1394cb057
1460304c8
153e9a419
hex2b31f70

45293424 has 80 divisors (see below), whose sum is σ = 128979840. Its totient is φ = 13582080.

The previous prime is 45293411. The next prime is 45293431. The reversal of 45293424 is 42439254.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57159 + ... + 57945.

It is an arithmetic number, because the mean of its divisors is an integer number (1612248).

Almost surely, 245293424 is an apocalyptic number.

45293424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45293424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64489920).

45293424 is an abundant number, since it is smaller than the sum of its proper divisors (83686416).

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

45293424 is a wasteful number, since it uses less digits than its factorization.

45293424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 45293424 is about 6730.0389300509. The cubic root of 45293424 is about 356.4607508916.

The spelling of 45293424 in words is "forty-five million, two hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 436 528 654 787 872 1199 1308 1574 1744 2361 2398 2616 3148 3597 4722 4796 5232 6296 7194 8657 9444 9592 12592 14388 17314 18888 19184 25971 28776 34628 37776 51942 57552 69256 85783 103884 138512 171566 207768 257349 343132 415536 514698 686264 943613 1029396 1372528 1887226 2058792 2830839 3774452 4117584 5661678 7548904 11323356 15097808 22646712 45293424