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42151368 = 2337273491
BaseRepresentation
bin1010000011001…
…0110111001000
32221022111210210
42200302313020
541242320433
64103241120
71021165200
oct240626710
987274723
1042151368
112187aa46
12121491a0
13896ab4c
145853400
153a79463
hex2832dc8

42151368 has 96 divisors (see below), whose sum is σ = 124515360. Its totient is φ = 11854080.

The previous prime is 42151357. The next prime is 42151391. The reversal of 42151368 is 86315124.

Its product of digits (5760) is a multiple of the sum of its prime divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85603 + ... + 86093.

It is an arithmetic number, because the mean of its divisors is an integer number (1297035).

Almost surely, 242151368 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 42151368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62257680).

42151368 is an abundant number, since it is smaller than the sum of its proper divisors (82363992).

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

42151368 is a wasteful number, since it uses less digits than its factorization.

42151368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 576 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 42151368 is about 6492.4084899211. The cubic root of 42151368 is about 348.0197504975.

The spelling of 42151368 in words is "forty-two million, one hundred fifty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 73 84 98 146 147 168 196 219 292 294 392 438 491 511 584 588 876 982 1022 1176 1473 1533 1752 1964 2044 2946 3066 3437 3577 3928 4088 5892 6132 6874 7154 10311 10731 11784 12264 13748 14308 20622 21462 24059 27496 28616 35843 41244 42924 48118 71686 72177 82488 85848 96236 107529 143372 144354 192472 215058 250901 286744 288708 430116 501802 577416 752703 860232 1003604 1505406 1756307 2007208 3010812 3512614 5268921 6021624 7025228 10537842 14050456 21075684 42151368