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5353152 = 26372569
BaseRepresentation
bin10100011010111011000000
3101001222010220
4110122323000
52332300102
6310423040
763333600
oct24327300
911058126
105353152
1130269a2
121961a80
13115575c
149d4c00
1570b1bc
hex51aec0

5353152 has 84 divisors (see below), whose sum is σ = 16504920. Its totient is φ = 1526784.

The previous prime is 5353151. The next prime is 5353207. The reversal of 5353152 is 2513535.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5353151) 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, 9124 + ... + 9692.

Almost surely, 25353152 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 5353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8252460).

5353152 is an abundant number, since it is smaller than the sum of its proper divisors (11151768).

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

5353152 is a wasteful number, since it uses less digits than its factorization.

5353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

The product of its digits is 2250, while the sum is 24.

The square root of 5353152 is about 2313.6879651327. The cubic root of 5353152 is about 174.9322404337.

Adding to 5353152 its reverse (2513535), we get a palindrome (7866687).

The spelling of 5353152 in words is "five million, three hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 569 588 672 784 1138 1176 1344 1568 1707 2276 2352 3136 3414 3983 4552 4704 6828 7966 9104 9408 11949 13656 15932 18208 23898 27312 27881 31864 36416 47796 54624 55762 63728 83643 95592 109248 111524 127456 167286 191184 223048 254912 334572 382368 446096 669144 764736 892192 1338288 1784384 2676576 5353152