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5416152 = 2337103313
BaseRepresentation
bin10100101010010011011000
3101012011120020
4110222103120
52341304102
6312030440
764015350
oct24522330
911164506
105416152
11306a265
121992420
131178331
14a0db60
1571ebbc
hex52a4d8

5416152 has 64 divisors (see below), whose sum is σ = 15674880. Its totient is φ = 1527552.

The previous prime is 5416087. The next prime is 5416157. The reversal of 5416152 is 2516145.

5416152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5416157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17148 + ... + 17460.

It is an arithmetic number, because the mean of its divisors is an integer number (244920).

Almost surely, 25416152 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 5416152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837440).

5416152 is an abundant number, since it is smaller than the sum of its proper divisors (10258728).

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

5416152 is a wasteful number, since it uses less digits than its factorization.

5416152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 5416152 is about 2327.2627698651. The cubic root of 5416152 is about 175.6158114180.

The spelling of 5416152 in words is "five million, four hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 103 168 206 309 313 412 618 626 721 824 939 1236 1252 1442 1878 2163 2191 2472 2504 2884 3756 4326 4382 5768 6573 7512 8652 8764 13146 17304 17528 26292 32239 52584 64478 96717 128956 193434 225673 257912 386868 451346 677019 773736 902692 1354038 1805384 2708076 5416152