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45487020 = 22351136709
BaseRepresentation
bin1010110110000…
…1001110101100
310011120222110110
42231201032230
543121041040
64302540020
71061430135
oct255411654
9104528413
1045487020
1123749087
1213297610
1395681c7
146080c8c
153ed7980
hex2b613ac

45487020 has 48 divisors (see below), whose sum is σ = 128509920. Its totient is φ = 12020736.

The previous prime is 45487009. The next prime is 45487021. The reversal of 45487020 is 2078454.

45487020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45487021) by changing a digit.

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, 3426 + ... + 10134.

It is an arithmetic number, because the mean of its divisors is an integer number (2677290).

Almost surely, 245487020 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 45487020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64254960).

45487020 is an abundant number, since it is smaller than the sum of its proper divisors (83022900).

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

45487020 is a wasteful number, since it uses less digits than its factorization.

45487020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45487020 is about 6744.4065713745. The cubic root of 45487020 is about 356.9678979993.

The spelling of 45487020 in words is "forty-five million, four hundred eighty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6709 6780 13418 20127 26836 33545 40254 67090 80508 100635 134180 201270 402540 758117 1516234 2274351 3032468 3790585 4548702 7581170 9097404 11371755 15162340 22743510 45487020