Search a number
-
+
45756020 = 225109139151
BaseRepresentation
bin1010111010001…
…0111001110100
310012002122110102
42232202321310
543203143040
64312413232
71063630322
oct256427164
9105078412
1045756020
11239121a2
12133a7218
13963078b
146110d12
15403c515
hex2ba2e74

45756020 has 48 divisors (see below), whose sum is σ = 98313600. Its totient is φ = 17884800.

The previous prime is 45756017. The next prime is 45756071. The reversal of 45756020 is 2065754.

It is a super-2 number, since 2×457560202 = 4187226732480800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302945 + ... + 303095.

It is an arithmetic number, because the mean of its divisors is an integer number (2048200).

Almost surely, 245756020 is an apocalyptic number.

It is an amenable number.

45756020 is an abundant number, since it is smaller than the sum of its proper divisors (52557580).

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

45756020 is a wasteful number, since it uses less digits than its factorization.

45756020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 45756020 is about 6764.3196258013. The cubic root of 45756020 is about 357.6701913509.

The spelling of 45756020 in words is "forty-five million, seven hundred fifty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 109 139 151 218 278 302 436 545 556 604 695 755 1090 1390 1510 2180 2780 3020 15151 16459 20989 30302 32918 41978 60604 65836 75755 82295 83956 104945 151510 164590 209890 303020 329180 419780 2287801 4575602 9151204 11439005 22878010 45756020