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42462532 = 22717372411
BaseRepresentation
bin1010000111111…
…0110101000100
32221220022122101
42201332311010
541332300112
64114041444
71023632320
oct241766504
987808571
1042462532
1121a72802
1212279284
138a49678
1458d4980
153adb757
hex287ed44

42462532 has 48 divisors (see below), whose sum is σ = 92389248. Its totient is φ = 16657920.

The previous prime is 42462503. The next prime is 42462571. The reversal of 42462532 is 23526424.

42462532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 42462532.

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, 16407 + ... + 18817.

It is an arithmetic number, because the mean of its divisors is an integer number (1924776).

Almost surely, 242462532 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 42462532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46194624).

42462532 is an abundant number, since it is smaller than the sum of its proper divisors (49926716).

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

42462532 is a wasteful number, since it uses less digits than its factorization.

42462532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2474 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 42462532 is about 6516.3281071475. The cubic root of 42462532 is about 348.8740196030.

Adding to 42462532 its reverse (23526424), we get a palindrome (65988956).

The spelling of 42462532 in words is "forty-two million, four hundred sixty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 37 68 74 119 148 238 259 476 518 629 1036 1258 2411 2516 4403 4822 8806 9644 16877 17612 33754 40987 67508 81974 89207 163948 178414 286909 356828 573818 624449 1147636 1248898 1516519 2497796 3033038 6066076 10615633 21231266 42462532