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5355264 = 28319367
BaseRepresentation
bin10100011011011100000000
3101002002001010
4110123130000
52332332024
6310440520
763343005
oct24333400
911062033
105355264
113028542
121963140
1311566c5
149d58ac
1570bb29
hex51b700

5355264 has 72 divisors (see below), whose sum is σ = 15043840. Its totient is φ = 1686528.

The previous prime is 5355257. The next prime is 5355271. The reversal of 5355264 is 4625535.

It is an interprime number because it is at equal distance from previous prime (5355257) and next prime (5355271).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14409 + ... + 14775.

Almost surely, 25355264 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 5355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521920).

5355264 is an abundant number, since it is smaller than the sum of its proper divisors (9688576).

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

5355264 is a wasteful number, since it uses less digits than its factorization.

5355264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 391 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 5355264 is about 2314.1443343059. The cubic root of 5355264 is about 174.9552429759.

The spelling of 5355264 in words is "five million, three hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 367 384 456 608 734 768 912 1101 1216 1468 1824 2202 2432 2936 3648 4404 4864 5872 6973 7296 8808 11744 13946 14592 17616 20919 23488 27892 35232 41838 46976 55784 70464 83676 93952 111568 140928 167352 223136 281856 334704 446272 669408 892544 1338816 1785088 2677632 5355264