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45402240 = 27351317107
BaseRepresentation
bin1010110100110…
…0100010000000
310011102200011110
42231030202000
543110332430
64301043320
71060625022
oct255144200
9104380143
1045402240
11236a0414
1213256540
139538740
14605c012
153ebc7b0
hex2b4c880

45402240 has 256 divisors, whose sum is σ = 166561920. Its totient is φ = 10420224.

The previous prime is 45402209. The next prime is 45402241. The reversal of 45402240 is 4220454.

It is a super-2 number, since 2×454022402 = 4122726794035200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45402241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424267 + ... + 424373.

Almost surely, 245402240 is an apocalyptic number.

45402240 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 45402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83280960).

45402240 is an abundant number, since it is smaller than the sum of its proper divisors (121159680).

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

45402240 is a wasteful number, since it uses less digits than its factorization.

45402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

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

The square root of 45402240 is about 6738.1184317285. The cubic root of 45402240 is about 356.7459844364.

Adding to 45402240 its reverse (4220454), we get a palindrome (49622694).

The spelling of 45402240 in words is "forty-five million, four hundred two thousand, two hundred forty".