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45875104 = 2511532459
BaseRepresentation
bin1010111011111…
…1111110100000
310012022200210221
42232333332200
543221000404
64315132424
71064634442
oct256777640
9105280727
1045875104
1123993710
1213444114
139672a42
146142492
154062954
hex2bbffa0

45875104 has 48 divisors (see below), whose sum is σ = 100427040. Its totient is φ = 20450560.

The previous prime is 45875057. The next prime is 45875113. The reversal of 45875104 is 40157854.

It is a self number, because there is not a number n which added to its sum of digits gives 45875104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17427 + ... + 19885.

It is an arithmetic number, because the mean of its divisors is an integer number (2092230).

Almost surely, 245875104 is an apocalyptic number.

45875104 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 45875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50213520).

45875104 is an abundant number, since it is smaller than the sum of its proper divisors (54551936).

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

45875104 is a wasteful number, since it uses less digits than its factorization.

45875104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 45875104 is about 6773.1162694878. The cubic root of 45875104 is about 357.9802117585.

The spelling of 45875104 in words is "forty-five million, eight hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 2459 4664 4918 9328 9836 18656 19672 27049 39344 54098 78688 108196 130327 216392 260654 432784 521308 865568 1042616 1433597 2085232 2867194 4170464 5734388 11468776 22937552 45875104