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5361468 = 223783769
BaseRepresentation
bin10100011100111100111100
3101002101112220
4110130330330
52333031333
6310525340
763400050
oct24347474
911071486
105361468
113032172
121966850
131159488
149d7c60
1570d8b3
hex51cf3c

5361468 has 48 divisors (see below), whose sum is σ = 14488320. Its totient is φ = 1511424.

The previous prime is 5361463. The next prime is 5361479. The reversal of 5361468 is 8641635.

Its product of digits (17280) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5361463) 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 15 ways as a sum of consecutive naturals, for example, 6588 + ... + 7356.

It is an arithmetic number, because the mean of its divisors is an integer number (301840).

Almost surely, 25361468 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 5361468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244160).

5361468 is an abundant number, since it is smaller than the sum of its proper divisors (9126852).

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

5361468 is a wasteful number, since it uses less digits than its factorization.

5361468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 864 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 5361468 is about 2315.4843985654. The cubic root of 5361468 is about 175.0227779875.

The spelling of 5361468 in words is "five million, three hundred sixty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 769 996 1162 1538 1743 2307 2324 3076 3486 4614 5383 6972 9228 10766 16149 21532 32298 63827 64596 127654 191481 255308 382962 446789 765924 893578 1340367 1787156 2680734 5361468