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42149880 = 23325191613
BaseRepresentation
bin1010000011001…
…0011111111000
32221022102202200
42200302133320
541242244010
64103230200
71021160643
oct240623770
987272680
1042149880
1121879913
1212148360
13896a276
145852a5a
153a78cc0
hex28327f8

42149880 has 96 divisors (see below), whose sum is σ = 137928960. Its totient is φ = 11162880.

The previous prime is 42149873. The next prime is 42149881. The reversal of 42149880 is 8894124.

42149880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421498802 = 3553224768028800, which contains 22 as substring.

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 (42149881) 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, 68454 + ... + 69066.

It is an arithmetic number, because the mean of its divisors is an integer number (1436760).

Almost surely, 242149880 is an apocalyptic number.

42149880 is a gapful number since it is divisible by the number (40) 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 42149880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68964480).

42149880 is an abundant number, since it is smaller than the sum of its proper divisors (95779080).

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

42149880 is a wasteful number, since it uses less digits than its factorization.

42149880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42149880 is about 6492.2938935325. The cubic root of 42149880 is about 348.0156552608.

The spelling of 42149880 in words is "forty-two million, one hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 613 764 955 1146 1226 1528 1719 1839 1910 2292 2452 2865 3065 3438 3678 3820 4584 4904 5517 5730 6130 6876 7356 7640 8595 9195 11034 11460 12260 13752 14712 17190 18390 22068 22920 24520 27585 34380 36780 44136 55170 68760 73560 110340 117083 220680 234166 351249 468332 585415 702498 936664 1053747 1170830 1404996 1756245 2107494 2341660 2809992 3512490 4214988 4683320 5268735 7024980 8429976 10537470 14049960 21074940 42149880