Search a number
-
+
53535832 = 2372413331
BaseRepresentation
bin1100110000111…
…0010001011000
310201201220100121
43030032101120
5102201121312
65151243024
71220022100
oct314162130
9121656317
1053535832
1128246299
1215b19474
13b12590c
147178200
154a77707
hex330e458

53535832 has 48 divisors (see below), whose sum is σ = 119652120. Its totient is φ = 22377600.

The previous prime is 53535829. The next prime is 53535841. The reversal of 53535832 is 23853535.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14407 + ... + 17737.

Almost surely, 253535832 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 53535832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59826060).

53535832 is an abundant number, since it is smaller than the sum of its proper divisors (66116288).

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

53535832 is a wasteful number, since it uses less digits than its factorization.

53535832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3381 counting only the distinct ones).

The product of its digits is 54000, while the sum is 34.

The square root of 53535832 is about 7316.8184342650. The cubic root of 53535832 is about 376.8902062387.

The spelling of 53535832 in words is "fifty-three million, five hundred thirty-five thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 3331 4018 6662 8036 13324 16072 23317 26648 46634 93268 136571 163219 186536 273142 326438 546284 652876 955997 1092568 1305752 1911994 3823988 6691979 7647976 13383958 26767916 53535832