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5302752 = 253713607
BaseRepresentation
bin10100001110100111100000
3100222102000020
4110032213200
52324142002
6305353440
763033630
oct24164740
910872006
105302752
112aa2044
121938880
131138830
149c06c0
156eb2bc
hex50e9e0

5302752 has 96 divisors (see below), whose sum is σ = 17160192. Its totient is φ = 1396224.

The previous prime is 5302747. The next prime is 5302763. The reversal of 5302752 is 2572035.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 8433 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (178752).

Almost surely, 25302752 is an apocalyptic number.

5302752 is a gapful number since it is divisible by the number (52) 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 5302752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580096).

5302752 is an abundant number, since it is smaller than the sum of its proper divisors (11857440).

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

5302752 is a wasteful number, since it uses less digits than its factorization.

5302752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5302752 is about 2302.7705052827. The cubic root of 5302752 is about 174.3815119419.

Adding to 5302752 its reverse (2572035), we get a palindrome (7874787).

The spelling of 5302752 in words is "five million, three hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 607 624 672 728 1092 1214 1248 1456 1821 2184 2428 2912 3642 4249 4368 4856 7284 7891 8498 8736 9712 12747 14568 15782 16996 19424 23673 25494 29136 31564 33992 47346 50988 55237 58272 63128 67984 94692 101976 110474 126256 135968 165711 189384 203952 220948 252512 331422 378768 407904 441896 662844 757536 883792 1325688 1767584 2651376 5302752