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5416608 = 253173319
BaseRepresentation
bin10100101010011010100000
3101012012012010
4110222122200
52341312413
6312032520
764016601
oct24523240
911165163
105416608
11306a63a
121992740
1311785c2
14a0dda8
1571edc3
hex52a6a0

5416608 has 48 divisors (see below), whose sum is σ = 15059520. Its totient is φ = 1698816.

The previous prime is 5416603. The next prime is 5416639. The reversal of 5416608 is 8066145.

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

It is not an unprimeable number, because it can be changed into a prime (5416603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 3291.

It is an arithmetic number, because the mean of its divisors is an integer number (313740).

Almost surely, 25416608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5416608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529760).

5416608 is an abundant number, since it is smaller than the sum of its proper divisors (9642912).

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

5416608 is a wasteful number, since it uses less digits than its factorization.

5416608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5416608 is about 2327.3607369722. The cubic root of 5416608 is about 175.6207397978.

The spelling of 5416608 in words is "five million, four hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3319 6638 9957 13276 19914 26552 39828 53104 56423 79656 106208 112846 159312 169269 225692 318624 338538 451384 677076 902768 1354152 1805536 2708304 5416608