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5349024 = 253341151
BaseRepresentation
bin10100011001111010100000
3101001202111000
4110121322200
52332132044
6310352000
763315552
oct24317240
911052430
105349024
11302388a
12195b600
131153905
149d34d2
15709d69
hex519ea0

5349024 has 96 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1728000.

The previous prime is 5349017. The next prime is 5349049. The reversal of 5349024 is 4209435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53490242 = 57224115505152, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35349 + ... + 35499.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 25349024 is an apocalyptic number.

5349024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5349024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

5349024 is an abundant number, since it is smaller than the sum of its proper divisors (10738656).

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

5349024 is a wasteful number, since it uses less digits than its factorization.

5349024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5349024 is about 2312.7957108227. The cubic root of 5349024 is about 174.8872634441.

The spelling of 5349024 in words is "five million, three hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 151 164 216 246 288 302 328 369 432 453 492 604 656 738 864 906 984 1107 1208 1312 1359 1476 1812 1968 2214 2416 2718 2952 3624 3936 4077 4428 4832 5436 5904 6191 7248 8154 8856 10872 11808 12382 14496 16308 17712 18573 21744 24764 32616 35424 37146 43488 49528 55719 65232 74292 99056 111438 130464 148584 167157 198112 222876 297168 334314 445752 594336 668628 891504 1337256 1783008 2674512 5349024