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45420414 = 23131573709
BaseRepresentation
bin1010110101000…
…0111101111110
310011110121002120
42231100331332
543111423124
64301303410
71061032014
oct255207576
9104417076
1045420414
1123703036
1213264b66
139543ab0
1460648b4
153ec2d79
hex2b50f7e

45420414 has 32 divisors (see below), whose sum is σ = 98478240. Its totient is φ = 13882752.

The previous prime is 45420367. The next prime is 45420421. The reversal of 45420414 is 41402454.

It is a happy number.

It is a Curzon number.

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, 10392 + ... + 14100.

It is an arithmetic number, because the mean of its divisors is an integer number (3077445).

Almost surely, 245420414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45420414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49239120).

45420414 is an abundant number, since it is smaller than the sum of its proper divisors (53057826).

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

45420414 is a wasteful number, since it uses less digits than its factorization.

45420414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 45420414 is about 6739.4668928633. The cubic root of 45420414 is about 356.7935785391.

Adding to 45420414 its reverse (41402454), we get a palindrome (86822868).

The spelling of 45420414 in words is "forty-five million, four hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 3709 4082 6123 7418 11127 12246 22254 48217 96434 144651 289302 582313 1164626 1746939 3493878 7570069 15140138 22710207 45420414