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417942040 = 235101103451
BaseRepresentation
bin11000111010010…
…100101000011000
31002010102122200211
4120322110220120
51323443121130
6105245540504
713233306625
oct3072245030
91063378624
10417942040
111a4a1004a
12b7b74734
13687840a9
143d71534c
1526a59a2a
hex18e94a18

417942040 has 32 divisors (see below), whose sum is σ = 949689360. Its totient is φ = 165520000.

The previous prime is 417942023. The next prime is 417942061. The reversal of 417942040 is 40249714.

It is a junction number, because it is equal to n+sod(n) for n = 417941993 and 417942011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47686 + ... + 55765.

Almost surely, 2417942040 is an apocalyptic number.

417942040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417942040 is an abundant number, since it is smaller than the sum of its proper divisors (531747320).

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

417942040 is a wasteful number, since it uses less digits than its factorization.

417942040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103563 (or 103559 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 417942040 is about 20443.6307929878. The cubic root of 417942040 is about 747.6620767629.

It can be divided in two parts, 41794 and 2040, that added together give a palindrome (43834).

The spelling of 417942040 in words is "four hundred seventeen million, nine hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 103451 206902 413804 517255 827608 1034510 2069020 4138040 10448551 20897102 41794204 52242755 83588408 104485510 208971020 417942040