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45540252 = 2233715939
BaseRepresentation
bin1010110110111…
…0001110011100
310011200200111000
42231232032130
543124242002
64304030300
71062041262
oct255561634
9104620430
1045540252
112378507a
1213302390
1395864c4
146096432
153ee861c
hex2b6e39c

45540252 has 48 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 14963760.

The previous prime is 45540251. The next prime is 45540259. The reversal of 45540252 is 25204554.

It is a super-3 number, since 3×455402523 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45540251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4699 + ... + 10637.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 245540252 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 45540252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

45540252 is an abundant number, since it is smaller than the sum of its proper divisors (74210148).

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

45540252 is a wasteful number, since it uses less digits than its factorization.

45540252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 45540252 is about 6748.3517987728. The cubic root of 45540252 is about 357.1070930740.

The spelling of 45540252 in words is "forty-five million, five hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 5939 7668 11878 17817 23756 35634 53451 71268 106902 160353 213804 320706 421669 641412 843338 1265007 1686676 2530014 3795021 5060028 7590042 11385063 15180084 22770126 45540252