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42220872 = 2333593313
BaseRepresentation
bin1010000100001…
…1110101001000
32221110001011000
42201003311020
541302031442
64104535000
71021604631
oct241036510
987401130
1042220872
1121918191
1212181460
138993685
145870888
153a8ed4c
hex2843d48

42220872 has 64 divisors (see below), whose sum is σ = 119304000. Its totient is φ = 13830912.

The previous prime is 42220837. The next prime is 42220903. The reversal of 42220872 is 27802224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 11088 + ... + 14400.

It is an arithmetic number, because the mean of its divisors is an integer number (1864125).

Almost surely, 242220872 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 42220872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59652000).

42220872 is an abundant number, since it is smaller than the sum of its proper divisors (77083128).

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

42220872 is a wasteful number, since it uses less digits than its factorization.

42220872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42220872 is about 6497.7589983009. The cubic root of 42220872 is about 348.2109303886.

The spelling of 42220872 in words is "forty-two million, two hundred twenty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 3313 4248 6372 6626 9939 12744 13252 19878 26504 29817 39756 59634 79512 89451 119268 178902 195467 238536 357804 390934 586401 715608 781868 1172802 1563736 1759203 2345604 3518406 4691208 5277609 7036812 10555218 14073624 21110436 42220872