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45021582 = 2384773
BaseRepresentation
bin1010101110111…
…1100110001110
310010201100000000
42223233212032
543011142312
64244545130
71054451154
oct253574616
9103640000
1045021582
1123460421
12130b21a6
1394343b8
145d9d3d4
153e44adc
hex2aef98e

45021582 has 72 divisors (see below), whose sum is σ = 104865696. Its totient is φ = 14486688.

The previous prime is 45021569. The next prime is 45021589. The reversal of 45021582 is 28512054.

It is a happy number.

45021582 is a `hidden beast` number, since 4 + 502 + 158 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45021589) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 616698 + ... + 616770.

It is an arithmetic number, because the mean of its divisors is an integer number (1456468).

Almost surely, 245021582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45021582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52432848).

45021582 is an abundant number, since it is smaller than the sum of its proper divisors (59844114).

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

45021582 is an frugal number, since it uses more digits than its factorization.

45021582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45021582 is about 6709.8123669742. The cubic root of 45021582 is about 355.7461842286.

It can be divided in two parts, 4502 and 1582, that added together give a square (6084 = 782).

The spelling of 45021582 in words is "forty-five million, twenty-one thousand, five hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 47 54 73 81 94 141 146 162 219 243 282 423 438 486 657 729 846 1269 1314 1458 1971 2187 2538 3431 3807 3942 4374 5913 6561 6862 7614 10293 11421 11826 13122 17739 20586 22842 30879 34263 35478 53217 61758 68526 92637 102789 106434 159651 185274 205578 277911 308367 319302 478953 555822 616734 833733 957906 1667466 2501199 5002398 7503597 15007194 22510791 45021582