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42626280 = 23351272797
BaseRepresentation
bin1010001010011…
…0110011101000
32222012122021010
42202212303220
541403020110
64121343520
71025213604
oct242466350
988178233
1042626280
1122074834
1212337ba0
138aa6068
145938504
153b20020
hex28a6ce8

42626280 has 64 divisors (see below), whose sum is σ = 128931840. Its totient is φ = 11273472.

The previous prime is 42626273. The next prime is 42626299. The reversal of 42626280 is 8262624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13842 + ... + 16638.

It is an arithmetic number, because the mean of its divisors is an integer number (2014560).

Almost surely, 242626280 is an apocalyptic number.

42626280 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 42626280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64465920).

42626280 is an abundant number, since it is smaller than the sum of its proper divisors (86305560).

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

42626280 is a wasteful number, since it uses less digits than its factorization.

42626280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 42626280 is about 6528.8804553308. The cubic root of 42626280 is about 349.3218979546.

The spelling of 42626280 in words is "forty-two million, six hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 2797 3048 3810 5080 5594 7620 8391 11188 13985 15240 16782 22376 27970 33564 41955 55940 67128 83910 111880 167820 335640 355219 710438 1065657 1420876 1776095 2131314 2841752 3552190 4262628 5328285 7104380 8525256 10656570 14208760 21313140 42626280