Search a number
-
+
53867136 = 273151929
BaseRepresentation
bin1100110101111…
…1001010000000
310202100201211010
43031133022000
5102242222021
65202320520
71222602021
oct315371200
9122321733
1053867136
11284521a4
1216059140
13b21065b
147222c48
154ae0976
hex335f280

53867136 has 64 divisors (see below), whose sum is σ = 144187200. Its totient is φ = 17817600.

The previous prime is 53867131. The next prime is 53867137. The reversal of 53867136 is 63176835.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 53867094 and 53867103.

It is not an unprimeable number, because it can be changed into a prime (53867131) 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, 57520 + ... + 58448.

It is an arithmetic number, because the mean of its divisors is an integer number (2252925).

Almost surely, 253867136 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 53867136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72093600).

53867136 is an abundant number, since it is smaller than the sum of its proper divisors (90320064).

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

53867136 is a wasteful number, since it uses less digits than its factorization.

53867136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 53867136 is about 7339.4234105957. The cubic root of 53867136 is about 377.6660638025. Note that the first 3 decimals are identical.

The spelling of 53867136 in words is "fifty-three million, eight hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 929 1208 1812 1858 2416 2787 3624 3716 4832 5574 7248 7432 9664 11148 14496 14864 19328 22296 28992 29728 44592 57984 59456 89184 118912 140279 178368 280558 356736 420837 561116 841674 1122232 1683348 2244464 3366696 4488928 6733392 8977856 13466784 17955712 26933568 53867136