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45351328 = 2511196781
BaseRepresentation
bin1010110100000…
…0000110100000
310011100002022211
42231000012200
543102220303
64300011504
71060323421
oct255000640
9104302284
1045351328
1123666140
1213230b94
13951b509
146047648
153eac66d
hex2b401a0

45351328 has 48 divisors (see below), whose sum is σ = 102543840. Its totient is φ = 19526400.

The previous prime is 45351301. The next prime is 45351343. The reversal of 45351328 is 82315354.

It is a self number, because there is not a number n which added to its sum of digits gives 45351328.

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, 3298 + ... + 10078.

It is an arithmetic number, because the mean of its divisors is an integer number (2136330).

Almost surely, 245351328 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 45351328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271920).

45351328 is an abundant number, since it is smaller than the sum of its proper divisors (57192512).

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

45351328 is a wasteful number, since it uses less digits than its factorization.

45351328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6813 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 45351328 is about 6734.3394627833. The cubic root of 45351328 is about 356.6125883402.

The spelling of 45351328 in words is "forty-five million, three hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 6781 13562 27124 54248 74591 108496 128839 149182 216992 257678 298364 515356 596728 1030712 1193456 1417229 2061424 2386912 2834458 4122848 5668916 11337832 22675664 45351328