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53577342 = 23371310903
BaseRepresentation
bin1100110001100…
…0011001111110
310201211000022000
43030120121332
5102203433332
65152203130
71220254110
oct314303176
9121730260
1053577342
11282744a5
1215b394a6
13b13b790
1471893b0
154a84b7c
hex331867e

53577342 has 64 divisors (see below), whose sum is σ = 146549760. Its totient is φ = 14128992.

The previous prime is 53577323. The next prime is 53577343. The reversal of 53577342 is 24377535.

53577342 is a `hidden beast` number, since 53 + 577 + 34 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53577297 and 53577306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53577343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (2289840).

Almost surely, 253577342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53577342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73274880).

53577342 is an abundant number, since it is smaller than the sum of its proper divisors (92972418).

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

53577342 is a wasteful number, since it uses less digits than its factorization.

53577342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10928 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 53577342 is about 7319.6545000430. The cubic root of 53577342 is about 376.9875906766.

It can be divided in two parts, 535 and 77342, that added together give a palindrome (77877).

The spelling of 53577342 in words is "fifty-three million, five hundred seventy-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 10903 21806 32709 65418 76321 98127 141739 152642 196254 228963 283478 294381 425217 457926 588762 686889 850434 992173 1275651 1373778 1984346 2060667 2551302 2976519 3826953 4121334 5953038 7653906 8929557 17859114 26788671 53577342