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53492736 = 2103111583
BaseRepresentation
bin1100110000001…
…1110000000000
310201122201020110
43030003300000
5102143231421
65150311320
71216452333
oct314036000
9121581213
1053492736
1128216980
1215ab8540
13b10c10b
14716661a
154a69a76
hex3303c00

53492736 has 88 divisors (see below), whose sum is σ = 155637504. Its totient is φ = 16199680.

The previous prime is 53492729. The next prime is 53492737. The reversal of 53492736 is 63729435.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×534927362 = 5722945609531392, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 53492694 and 53492703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53492737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33001 + ... + 34583.

It is an arithmetic number, because the mean of its divisors is an integer number (1768608).

Almost surely, 253492736 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 53492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77818752).

53492736 is an abundant number, since it is smaller than the sum of its proper divisors (102144768).

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

53492736 is a wasteful number, since it uses less digits than its factorization.

53492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1599 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 53492736 is about 7313.8728454903. The cubic root of 53492736 is about 376.7890476935.

The spelling of 53492736 in words is "fifty-three million, four hundred ninety-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 1583 2112 2816 3072 3166 4224 4749 5632 6332 8448 9498 11264 12664 16896 17413 18996 25328 33792 34826 37992 50656 52239 69652 75984 101312 104478 139304 151968 202624 208956 278608 303936 405248 417912 557216 607872 810496 835824 1114432 1215744 1620992 1671648 2228864 2431488 3343296 4457728 4862976 6686592 8915456 13373184 17830912 26746368 53492736