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42594420 = 22351125867
BaseRepresentation
bin1010001001111…
…1000001110100
32222011000120010
42202133001310
541401010140
64120540220
71025021661
oct242370164
988130503
1042594420
1122052900
1212321670
138a946cb
14592aa68
153b15880
hex289f074

42594420 has 72 divisors (see below), whose sum is σ = 131114592. Its totient is φ = 10324160.

The previous prime is 42594407. The next prime is 42594451. The reversal of 42594420 is 2449524.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4327 + ... + 10193.

It is an arithmetic number, because the mean of its divisors is an integer number (1821036).

Almost surely, 242594420 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 42594420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65557296).

42594420 is an abundant number, since it is smaller than the sum of its proper divisors (88520172).

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

42594420 is a wasteful number, since it uses less digits than its factorization.

42594420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42594420 is about 6526.4400709728. The cubic root of 42594420 is about 349.2348454788.

Subtracting from 42594420 its reverse (2449524), we obtain a square (40144896 = 63362).

The spelling of 42594420 in words is "forty-two million, five hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 5867 7260 11734 17601 23468 29335 35202 58670 64537 70404 88005 117340 129074 176010 193611 258148 322685 352020 387222 645370 709907 774444 968055 1290740 1419814 1936110 2129721 2839628 3549535 3872220 4259442 7099070 8518884 10648605 14198140 21297210 42594420