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45542040 = 23351911987
BaseRepresentation
bin1010110110111…
…0101010011000
310011200202221020
42231232222120
543124321130
64304042440
71062046425
oct255565230
9104622836
1045542040
1123786455
1213303420
13958726b
146096d4c
153ee8e10
hex2b6ea98

45542040 has 64 divisors (see below), whose sum is σ = 137410560. Its totient is φ = 12074880.

The previous prime is 45542009. The next prime is 45542059. The reversal of 45542040 is 4024554.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45542040.

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, 21927 + ... + 23913.

It is an arithmetic number, because the mean of its divisors is an integer number (2147040).

Almost surely, 245542040 is an apocalyptic number.

45542040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68705280).

45542040 is an abundant number, since it is smaller than the sum of its proper divisors (91868520).

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

45542040 is a wasteful number, since it uses less digits than its factorization.

45542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45542040 is about 6748.4842742649. The cubic root of 45542040 is about 357.1117665888. Note that the first 3 decimals are identical.

Adding to 45542040 its reverse (4024554), we get a palindrome (49566594).

The spelling of 45542040 in words is "forty-five million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 1987 2292 2865 3820 3974 4584 5730 5961 7640 7948 9935 11460 11922 15896 19870 22920 23844 29805 39740 47688 59610 79480 119220 238440 379517 759034 1138551 1518068 1897585 2277102 3036136 3795170 4554204 5692755 7590340 9108408 11385510 15180680 22771020 45542040