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42691896 = 233213172683
BaseRepresentation
bin1010001011011…
…0110100111000
32222022222021100
42202312310320
541412120041
64123011400
71025606112
oct242666470
988288240
1042691896
112210a065
1212369b60
138ac9ba0
1459543b2
153b346b6
hex28b6d38

42691896 has 96 divisors (see below), whose sum is σ = 131891760. Its totient is φ = 12358656.

The previous prime is 42691889. The next prime is 42691897. The reversal of 42691896 is 69819624.

It is a happy number.

42691896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42691897) 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 23 ways as a sum of consecutive naturals, for example, 14571 + ... + 17253.

Almost surely, 242691896 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 42691896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65945880).

42691896 is an abundant number, since it is smaller than the sum of its proper divisors (89199864).

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

42691896 is a wasteful number, since it uses less digits than its factorization.

42691896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2718 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 42691896 is about 6533.9035805558. The cubic root of 42691896 is about 349.5010468633.

The spelling of 42691896 in words is "forty-two million, six hundred ninety-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 2683 3978 5304 5366 7956 8049 10732 15912 16098 21464 24147 32196 34879 45611 48294 64392 69758 91222 96588 104637 136833 139516 182444 193176 209274 273666 279032 313911 364888 410499 418548 547332 592943 627822 820998 837096 1094664 1185886 1255644 1641996 1778829 2371772 2511288 3283992 3557658 4743544 5336487 7115316 10672974 14230632 21345948 42691896