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5416416 = 25336269
BaseRepresentation
bin10100101010010111100000
3101012011221000
4110222113200
52341311131
6312032000
764016205
oct24522740
911164830
105416416
11306a485
121992600
1311784a5
14a0dcac
1571ece6
hex52a5e0

5416416 has 48 divisors (see below), whose sum is σ = 15800400. Its totient is φ = 1805184.

The previous prime is 5416403. The next prime is 5416427. The reversal of 5416416 is 6146145.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5416416.

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, 2271 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (329175).

Almost surely, 25416416 is an apocalyptic number.

It is an amenable number.

5416416 is an abundant number, since it is smaller than the sum of its proper divisors (10383984).

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

5416416 is a wasteful number, since it uses less digits than its factorization.

5416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288 (or 6274 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5416416 is about 2327.3194881666. The cubic root of 5416416 is about 175.6186647242.

It can be divided in two parts, 5416 and 416, that added together give a cube (5832 = 183).

The spelling of 5416416 in words is "five million, four hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 6269 12538 18807 25076 37614 50152 56421 75228 100304 112842 150456 169263 200608 225684 300912 338526 451368 601824 677052 902736 1354104 1805472 2708208 5416416