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42619032 = 23321933067
BaseRepresentation
bin1010001010010…
…1000010011000
32222012021022200
42202211002120
541402302112
64121250200
71025153511
oct242450230
988167280
1042619032
112206a345
1212333960
138aa2981
145935a08
153b1ccdc
hex28a5098

42619032 has 48 divisors (see below), whose sum is σ = 116062440. Its totient is φ = 14128128.

The previous prime is 42619021. The next prime is 42619037. The reversal of 42619032 is 23091624.

42619032 is a `hidden beast` number, since 42 + 619 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42618987 and 42619005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42619037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12363 + ... + 15429.

It is a vampire number, since it can be written as 46329201 (with its own digits).

Almost surely, 242619032 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 42619032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58031220).

42619032 is an abundant number, since it is smaller than the sum of its proper divisors (73443408).

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

42619032 is a wasteful number, since it uses less digits than its factorization.

42619032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42619032 is about 6528.3253595390. The cubic root of 42619032 is about 349.3020977387.

The spelling of 42619032 in words is "forty-two million, six hundred nineteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3067 3474 4632 6134 6948 9201 12268 13896 18402 24536 27603 36804 55206 73608 110412 220824 591931 1183862 1775793 2367724 3551586 4735448 5327379 7103172 10654758 14206344 21309516 42619032