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45371328 = 263673527
BaseRepresentation
bin1010110100010…
…0111111000000
310011101002202120
42231010333000
543103340303
64300244240
71060435632
oct255047700
9104332676
1045371328
112367a172
1213240680
139527652
146050a52
153eb3553
hex2b44fc0

45371328 has 56 divisors (see below), whose sum is σ = 121871232. Its totient is φ = 14893824.

The previous prime is 45371327. The next prime is 45371363. The reversal of 45371328 is 82317354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45371327) 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, 11101 + ... + 14627.

It is an arithmetic number, because the mean of its divisors is an integer number (2176272).

Almost surely, 245371328 is an apocalyptic number.

45371328 is a gapful number since it is divisible by the number (48) 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 45371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60935616).

45371328 is an abundant number, since it is smaller than the sum of its proper divisors (76499904).

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

45371328 is a wasteful number, since it uses less digits than its factorization.

45371328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3599 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 45371328 is about 6735.8242257351. The cubic root of 45371328 is about 356.6650028552.

The spelling of 45371328 in words is "forty-five million, three hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 3527 4288 6432 7054 10581 12864 14108 21162 28216 42324 56432 84648 112864 169296 225728 236309 338592 472618 677184 708927 945236 1417854 1890472 2835708 3780944 5671416 7561888 11342832 15123776 22685664 45371328