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413854416 = 24322873989
BaseRepresentation
bin11000101010101…
…110101011010000
31001211201222112100
4120222232223100
51321421320131
6105022200400
713153463433
oct3052565320
91054658470
10413854416
111a2678a48
12b6723100
1367982691
143cd6d81a
15264ed7e6
hex18aaead0

413854416 has 30 divisors (see below), whose sum is σ = 1158217970. Its totient is φ = 137951424.

The previous prime is 413854393. The next prime is 413854423. The reversal of 413854416 is 614458314.

It can be written as a sum of positive squares in only one way, i.e., 306110016 + 107744400 = 17496^2 + 10380^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1436851 + ... + 1437138.

Almost surely, 2413854416 is an apocalyptic number.

It is an amenable number.

413854416 is an abundant number, since it is smaller than the sum of its proper divisors (744363554).

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

413854416 is a wasteful number, since it uses less digits than its factorization.

413854416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874003 (or 2873994 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 413854416 is about 20343.4121031847. The cubic root of 413854416 is about 745.2166185401.

The spelling of 413854416 in words is "four hundred thirteen million, eight hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2873989 5747978 8621967 11495956 17243934 22991912 25865901 34487868 45983824 51731802 68975736 103463604 137951472 206927208 413854416