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53752896 = 263410369
BaseRepresentation
bin1100110100001…
…1010001000000
310202010221010000
43031003101000
5102230043041
65200040000
71221614661
oct315032100
9122127100
1053752896
112838438a
1216003000
13b1a0662
1471d3368
154abbbb6
hex3343440

53752896 has 70 divisors (see below), whose sum is σ = 159355790. Its totient is φ = 17915904.

The previous prime is 53752889. The next prime is 53752931. The reversal of 53752896 is 69825735.

It is a happy number.

53752896 is a `hidden beast` number, since 5 + 37 + 528 + 96 = 666.

53752896 is a nontrivial binomial coefficient, being equal to C(10369, 2).

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 20575296 = 5760^2 + 4536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1 + ... + 10368.

Almost surely, 253752896 is an apocalyptic number.

53752896 is the 10368-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79677895).

53752896 is an abundant number, since it is smaller than the sum of its proper divisors (105602894).

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

53752896 is a wasteful number, since it uses less digits than its factorization.

53752896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10393 (or 10374 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 53752896 is about 7331.6366522080. The cubic root of 53752896 is about 377.3988934380.

The spelling of 53752896 in words is "fifty-three million, seven hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10369 20738 31107 41476 62214 82952 93321 124428 165904 186642 248856 279963 331808 373284 497712 559926 663616 746568 839889 995424 1119852 1493136 1679778 1990848 2239704 2986272 3359556 4479408 5972544 6719112 8958816 13438224 17917632 26876448 53752896