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5332464 = 2432191949
BaseRepresentation
bin10100010101110111110000
3101000220202200
4110111313300
52331114324
6310143200
763216354
oct24256760
911026680
105332464
1130123a5
121951b00
131149207
149cb464
15704ec9
hex515df0

5332464 has 60 divisors (see below), whose sum is σ = 15717000. Its totient is φ = 1683072.

The previous prime is 5332429. The next prime is 5332469. The reversal of 5332464 is 4642335.

It is a super-2 number, since 2×53324642 = 56870344622592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5332469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1762 + ... + 3710.

It is an arithmetic number, because the mean of its divisors is an integer number (261950).

Almost surely, 25332464 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 5332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858500).

5332464 is an abundant number, since it is smaller than the sum of its proper divisors (10384536).

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

5332464 is a wasteful number, since it uses less digits than its factorization.

5332464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1973 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 5332464 is about 2309.2128529003. The cubic root of 5332464 is about 174.7065995237.

Adding to 5332464 its reverse (4642335), we get a palindrome (9974799).

The spelling of 5332464 in words is "five million, three hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1949 2736 3898 5847 7796 11694 15592 17541 23388 31184 35082 37031 46776 70164 74062 93552 111093 140328 148124 222186 280656 296248 333279 444372 592496 666558 888744 1333116 1777488 2666232 5332464