Search a number
-
+
42053592 = 2337534723
BaseRepresentation
bin1010000001101…
…0111111011000
32221010112200110
42200122333120
541231203332
64101204320
71020310140
oct240327730
987115613
1042053592
1121813539
12121006a0
1389354a9
145829920
153a5a4cc
hex281afd8

42053592 has 64 divisors (see below), whose sum is σ = 122446080. Its totient is φ = 11786112.

The previous prime is 42053587. The next prime is 42053629. The reversal of 42053592 is 29535024.

42053592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6543 + ... + 11265.

It is an arithmetic number, because the mean of its divisors is an integer number (1913220).

Almost surely, 242053592 is an apocalyptic number.

42053592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42053592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61223040).

42053592 is an abundant number, since it is smaller than the sum of its proper divisors (80392488).

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

42053592 is a wasteful number, since it uses less digits than its factorization.

42053592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 42053592 is about 6484.8740928410. The cubic root of 42053592 is about 347.7504486489.

The spelling of 42053592 in words is "forty-two million, fifty-three thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 4723 8904 9446 14169 18892 28338 33061 37784 56676 66122 99183 113352 132244 198366 250319 264488 396732 500638 750957 793464 1001276 1501914 1752233 2002552 3003828 3504466 5256699 6007656 7008932 10513398 14017864 21026796 42053592