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45216580 = 22519257463
BaseRepresentation
bin1010110001111…
…1001101000100
310011002020111011
42230133031010
543033412310
64253052004
71056222523
oct254371504
9104066434
1045216580
1123583982
1213187004
1394a2096
1460104ba
153e8278a
hex2b1f344

45216580 has 48 divisors (see below), whose sum is σ = 100558080. Its totient is φ = 17031168.

The previous prime is 45216559. The next prime is 45216593. The reversal of 45216580 is 8561254.

45216580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 97429 + ... + 97891.

It is an arithmetic number, because the mean of its divisors is an integer number (2094960).

Almost surely, 245216580 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 45216580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50279040).

45216580 is an abundant number, since it is smaller than the sum of its proper divisors (55341500).

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

45216580 is a wasteful number, since it uses less digits than its factorization.

45216580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 45216580 is about 6724.3274756662. The cubic root of 45216580 is about 356.2590485031.

It can be divided in two parts, 45216 and 580, that added together give a square (45796 = 2142).

The spelling of 45216580 in words is "forty-five million, two hundred sixteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 257 380 463 514 926 1028 1285 1852 2315 2570 4630 4883 5140 8797 9260 9766 17594 19532 24415 35188 43985 48830 87970 97660 118991 175940 237982 475964 594955 1189910 2260829 2379820 4521658 9043316 11304145 22608290 45216580