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45424288 = 2571319821
BaseRepresentation
bin1010110101000…
…1111010100000
310011110210102001
42231101322200
543112034123
64301333344
71061046220
oct255217240
9104423361
1045424288
1123705a38
1213267254
1395457a0
146066080
153ec40ad
hex2b51ea0

45424288 has 96 divisors (see below), whose sum is σ = 116000640. Its totient is φ = 17003520.

The previous prime is 45424279. The next prime is 45424319. The reversal of 45424288 is 88242454.

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, 54918 + ... + 55738.

It is an arithmetic number, because the mean of its divisors is an integer number (1208340).

Almost surely, 245424288 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 45424288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58000320).

45424288 is an abundant number, since it is smaller than the sum of its proper divisors (70576352).

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

45424288 is a wasteful number, since it uses less digits than its factorization.

45424288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 81920, while the sum is 37.

The square root of 45424288 is about 6739.7542981922. The cubic root of 45424288 is about 356.8037221354.

It can be divided in two parts, 454 and 24288, that added together give a palindrome (24742).

The spelling of 45424288 in words is "forty-five million, four hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 728 821 988 1064 1456 1642 1729 1976 2128 2912 3284 3458 3952 4256 5747 6568 6916 7904 10673 11494 13136 13832 15599 21346 22988 26272 27664 31198 42692 45976 55328 62396 74711 85384 91952 109193 124792 149422 170768 183904 202787 218386 249584 298844 341536 405574 436772 499168 597688 811148 873544 1195376 1419509 1622296 1747088 2390752 2839018 3244592 3494176 5678036 6489184 11356072 22712144 45424288