Search a number
-
+
53063072 = 2531149359
BaseRepresentation
bin1100101001101…
…0110110100000
310200211212211222
43022122312200
5102041004242
65133154212
71213012556
oct312326640
9120755758
1053063072
1127a53087
121592b968
13acbb68a
147093bd6
1549d25d2
hex329ada0

53063072 has 48 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 25432320.

The previous prime is 53063071. The next prime is 53063083. The reversal of 53063072 is 27036035.

It is a super-2 number, since 2×530630722 = 5631379220154368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53063071) 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, 147629 + ... + 147987.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 253063072 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 53063072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

53063072 is an abundant number, since it is smaller than the sum of its proper divisors (55800928).

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

53063072 is a wasteful number, since it uses less digits than its factorization.

53063072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 53063072 is about 7284.4404040393. The cubic root of 53063072 is about 375.7775204141. Note that the first 3 decimals are identical.

The spelling of 53063072 in words is "fifty-three million, sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 124 149 248 298 359 496 596 718 992 1192 1436 2384 2872 4619 4768 5744 9238 11129 11488 18476 22258 36952 44516 53491 73904 89032 106982 147808 178064 213964 356128 427928 855856 1658221 1711712 3316442 6632884 13265768 26531536 53063072