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42940332 = 223231109353
BaseRepresentation
bin1010001111001…
…1011110101100
32222210121001200
42203303132230
541443042312
64132205500
71030662321
oct243633654
988717050
1042940332
1122269786
1212469890
138b85ca6
1459bab48
153b830dc
hex28f37ac

42940332 has 72 divisors (see below), whose sum is σ = 113393280. Its totient is φ = 13685760.

The previous prime is 42940309. The next prime is 42940343. The reversal of 42940332 is 23304924.

It is a happy number.

It is a super-2 number, since 2×429403322 = 3687744224540448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42940296 and 42940305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121468 + ... + 121820.

Almost surely, 242940332 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 42940332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56696640).

42940332 is an abundant number, since it is smaller than the sum of its proper divisors (70452948).

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

42940332 is a wasteful number, since it uses less digits than its factorization.

42940332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42940332 is about 6552.8873025560. The cubic root of 42940332 is about 350.1776839299.

The spelling of 42940332 in words is "forty-two million, nine hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 109 124 186 218 279 327 353 372 436 558 654 706 981 1059 1116 1308 1412 1962 2118 3177 3379 3924 4236 6354 6758 10137 10943 12708 13516 20274 21886 30411 32829 38477 40548 43772 60822 65658 76954 98487 115431 121644 131316 153908 196974 230862 346293 393948 461724 692586 1192787 1385172 2385574 3578361 4771148 7156722 10735083 14313444 21470166 42940332