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42913332 = 2232711113137
BaseRepresentation
bin1010001110110…
…0111000110100
32222202020000200
42203230320310
541441211312
64131440500
71030520520
oct243547064
988666020
1042913332
1122250470
1212456130
138b76907
1459b0d80
153b7a0dc
hex28ece34

42913332 has 144 divisors (see below), whose sum is σ = 137434752. Its totient is φ = 10967040.

The previous prime is 42913327. The next prime is 42913337. The reversal of 42913332 is 23331924.

It is a happy number.

42913332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42913327) and next prime (42913337).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42913296 and 42913305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42913337) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 313168 + ... + 313304.

It is an arithmetic number, because the mean of its divisors is an integer number (954408).

Almost surely, 242913332 is an apocalyptic number.

42913332 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 42913332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68717376).

42913332 is an abundant number, since it is smaller than the sum of its proper divisors (94521420).

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

42913332 is a wasteful number, since it uses less digits than its factorization.

42913332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 42913332 is about 6550.8268180437. The cubic root of 42913332 is about 350.1042736931.

The spelling of 42913332 in words is "forty-two million, nine hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 113 126 132 137 154 198 226 231 252 274 308 339 396 411 452 462 548 678 693 791 822 924 959 1017 1233 1243 1356 1386 1507 1582 1644 1918 2034 2373 2466 2486 2772 2877 3014 3164 3729 3836 4068 4521 4746 4932 4972 5754 6028 7119 7458 8631 8701 9042 9492 10549 11187 11508 13563 14238 14916 15481 17262 17402 18084 21098 22374 26103 27126 28476 30962 31647 34524 34804 42196 44748 46443 52206 54252 61924 63294 78309 92886 94941 104412 108367 126588 139329 156618 170291 185772 189882 216734 278658 313236 325101 340582 379764 433468 510873 557316 650202 681164 975303 1021746 1192037 1300404 1532619 1950606 2043492 2384074 3065238 3576111 3901212 4768148 6130476 7152222 10728333 14304444 21456666 42913332