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45018820 = 225711233141
BaseRepresentation
bin1010101110111…
…0111011000100
310010201012012201
42223232323010
543011100240
64244524244
71054440130
oct253567304
9103635181
1045018820
1123459340
12130b0684
139433072
145d9c3c0
153e43d9a
hex2aeeec4

45018820 has 192 divisors, whose sum is σ = 130056192. Its totient is φ = 12672000.

The previous prime is 45018811. The next prime is 45018821. The reversal of 45018820 is 2881054.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (45018821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1098000 + ... + 1098040.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 245018820 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 45018820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

45018820 is an abundant number, since it is smaller than the sum of its proper divisors (85037372).

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

45018820 is a wasteful number, since it uses less digits than its factorization.

45018820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 45018820 is about 6709.6065458416. The cubic root of 45018820 is about 355.7389092654.

Adding to 45018820 its reverse (2881054), we get a palindrome (47899874).

The spelling of 45018820 in words is "forty-five million, eighteen thousand, eight hundred twenty".