Search a number
-
+
42158088 = 23327233359
BaseRepresentation
bin1010000011010…
…0100000001000
32221022212000200
42200310200020
541243024323
64103332200
71021223610
oct240644010
987285020
1042158088
1121884aa5
1212151060
138970c1b
145855a40
153a7b443
hex2834808

42158088 has 96 divisors (see below), whose sum is σ = 131414400. Its totient is φ = 11960064.

The previous prime is 42158069. The next prime is 42158089. The reversal of 42158088 is 88085124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42158089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117253 + ... + 117611.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 242158088 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 42158088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707200).

42158088 is an abundant number, since it is smaller than the sum of its proper divisors (89256312).

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

42158088 is a wasteful number, since it uses less digits than its factorization.

42158088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 42158088 is about 6492.9259968061. The cubic root of 42158088 is about 348.0382439143.

The spelling of 42158088 in words is "forty-two million, one hundred fifty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 233 252 359 466 504 699 718 932 1077 1398 1436 1631 1864 2097 2154 2513 2796 2872 3231 3262 4194 4308 4893 5026 5592 6462 6524 7539 8388 8616 9786 10052 12924 13048 14679 15078 16776 19572 20104 22617 25848 29358 30156 39144 45234 58716 60312 83647 90468 117432 167294 180936 250941 334588 501882 585529 669176 752823 1003764 1171058 1505646 1756587 2007528 2342116 3011292 3513174 4684232 5269761 6022584 7026348 10539522 14052696 21079044 42158088