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45422040 = 2335894253
BaseRepresentation
bin1010110101000…
…1010111011000
310011110200022210
42231101113120
543112001130
64301315120
71061036526
oct255212730
9104420283
1045422040
1123704284
1213265aa0
139544761
146065316
153ec35b0
hex2b515d8

45422040 has 64 divisors (see below), whose sum is σ = 137829600. Its totient is φ = 11973632.

The previous prime is 45422029. The next prime is 45422053. The reversal of 45422040 is 4022454.

45422040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45421998 and 45422016.

It is a congruent number.

It is an unprimeable number.

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, 8554 + ... + 12806.

Almost surely, 245422040 is an apocalyptic number.

45422040 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 45422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68914800).

45422040 is an abundant number, since it is smaller than the sum of its proper divisors (92407560).

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

45422040 is a wasteful number, since it uses less digits than its factorization.

45422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 45422040 is about 6739.5875244706. The cubic root of 45422040 is about 356.7978360919.

Adding to 45422040 its reverse (4022454), we get a palindrome (49444494).

The spelling of 45422040 in words is "forty-five million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 4253 5340 8506 10680 12759 17012 21265 25518 34024 42530 51036 63795 85060 102072 127590 170120 255180 378517 510360 757034 1135551 1514068 1892585 2271102 3028136 3785170 4542204 5677755 7570340 9084408 11355510 15140680 22711020 45422040