[go: up one dir, main page]

Search a number
-
+
53288442 = 23831131
BaseRepresentation
bin1100101101000…
…1110111111010
310201021100000000
43023101313322
5102120212232
65142053430
71214641614
oct313216772
9121240000
1053288442
1128097439
1215a1a276
13b06a12c
147111db4
154a2927c
hex32d1dfa

53288442 has 72 divisors (see below), whose sum is σ = 124705152. Its totient is φ = 17058600.

The previous prime is 53288413. The next prime is 53288491. The reversal of 53288442 is 24488235.

53288442 is a `hidden beast` number, since 532 + 8 + 84 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53288397 and 53288406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 406717 + ... + 406847.

It is an arithmetic number, because the mean of its divisors is an integer number (1732016).

Almost surely, 253288442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53288442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62352576).

53288442 is an abundant number, since it is smaller than the sum of its proper divisors (71416710).

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

53288442 is an equidigital number, since it uses as much as digits as its factorization.

53288442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 53288442 is about 7299.8932868913. The cubic root of 53288442 is about 376.3087710021.

The spelling of 53288442 in words is "fifty-three million, two hundred eighty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 131 162 186 243 262 279 393 486 558 729 786 837 1179 1458 1674 2187 2358 2511 3537 4061 4374 5022 6561 7074 7533 8122 10611 12183 13122 15066 21222 22599 24366 31833 36549 45198 63666 67797 73098 95499 109647 135594 190998 203391 219294 286497 328941 406782 572994 657882 859491 986823 1718982 1973646 2960469 5920938 8881407 17762814 26644221 53288442