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45387020 = 2257734441
BaseRepresentation
bin1010110100100…
…0110100001100
310011101220021202
42231020310030
543104341040
64300445032
71060532450
oct255106414
9104356252
1045387020
112368aa38
1213249778
139531833
146056660
153eb8015
hex2b48d0c

45387020 has 48 divisors (see below), whose sum is σ = 110445888. Its totient is φ = 15344640.

The previous prime is 45387019. The next prime is 45387031. The reversal of 45387020 is 2078354.

It is a happy number.

It is a super-3 number, since 3×453870203 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8000 + ... + 12440.

It is an arithmetic number, because the mean of its divisors is an integer number (2300956).

Almost surely, 245387020 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 45387020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55222944).

45387020 is an abundant number, since it is smaller than the sum of its proper divisors (65058868).

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

45387020 is a wasteful number, since it uses less digits than its factorization.

45387020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 45387020 is about 6736.9889416564. The cubic root of 45387020 is about 356.7061165009.

The spelling of 45387020 in words is "forty-five million, three hundred eighty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 4441 5110 8882 10220 17764 22205 31087 44410 62174 88820 124348 155435 310870 324193 621740 648386 1296772 1620965 2269351 3241930 4538702 6483860 9077404 11346755 22693510 45387020