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5357464 = 237279173
BaseRepresentation
bin10100011011111110011000
3101002012001121
4110123332120
52332414324
6310455024
763352300
oct24337630
911065047
105357464
11302a162
121964474
1311576c8
149d6600
1570c5e4
hex51bf98

5357464 has 48 divisors (see below), whose sum is σ = 11901600. Its totient is φ = 2253888.

The previous prime is 5357441. The next prime is 5357467. The reversal of 5357464 is 4647535.

It is a happy number.

It is a super-2 number, since 2×53574642 = 57404841022592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30882 + ... + 31054.

It is an arithmetic number, because the mean of its divisors is an integer number (247950).

Almost surely, 25357464 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 5357464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950800).

5357464 is an abundant number, since it is smaller than the sum of its proper divisors (6544136).

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

5357464 is a wasteful number, since it uses less digits than its factorization.

5357464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its digits is 50400, while the sum is 34.

The square root of 5357464 is about 2314.6196231779. The cubic root of 5357464 is about 174.9791975273.

The spelling of 5357464 in words is "five million, three hundred fifty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 173 196 316 346 392 553 632 692 1106 1211 1384 2212 2422 3871 4424 4844 7742 8477 9688 13667 15484 16954 27334 30968 33908 54668 67816 95669 109336 191338 382676 669683 765352 1339366 2678732 5357464