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45284880 = 2435188687
BaseRepresentation
bin1010110010111…
…1111000010000
310011012201011210
42230233320100
543043104010
64254340120
71056625614
oct254577020
9104181153
1045284880
1123620223
12131ba640
1394c71b4
14602b344
153e97b20
hex2b2fe10

45284880 has 40 divisors (see below), whose sum is σ = 140383872. Its totient is φ = 12075904.

The previous prime is 45284867. The next prime is 45284903. The reversal of 45284880 is 8848254.

45284880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×452848802 = 4101440713228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94104 + ... + 94583.

Almost surely, 245284880 is an apocalyptic number.

45284880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45284880 is an abundant number, since it is smaller than the sum of its proper divisors (95098992).

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

45284880 is a wasteful number, since it uses less digits than its factorization.

45284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188703 (or 188697 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 45284880 is about 6729.4041340969. The cubic root of 45284880 is about 356.4383356275.

It can be divided in two parts, 45284 and 880, that added together give a palindrome (46164).

The spelling of 45284880 in words is "forty-five million, two hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 188687 377374 566061 754748 943435 1132122 1509496 1886870 2264244 2830305 3018992 3773740 4528488 5660610 7547480 9056976 11321220 15094960 22642440 45284880