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42491820 = 22357297149
BaseRepresentation
bin1010001000010…
…1111110101100
32221221210211010
42202011332230
541334214240
64114425220
71024113600
oct242057654
987853733
1042491820
1121a92808
1212292210
138a59ab7
145901500
153ae5280
hex2885fac

42491820 has 144 divisors (see below), whose sum is σ = 140767200. Its totient is φ = 9547776.

The previous prime is 42491819. The next prime is 42491831. The reversal of 42491820 is 2819424.

42491820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285106 + ... + 285254.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 242491820 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 42491820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70383600).

42491820 is an abundant number, since it is smaller than the sum of its proper divisors (98275380).

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

42491820 is a wasteful number, since it uses less digits than its factorization.

42491820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42491820 is about 6518.5749976509. The cubic root of 42491820 is about 348.9542116649.

The spelling of 42491820 in words is "forty-two million, four hundred ninety-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 97 98 105 140 147 149 194 196 210 245 291 294 298 388 420 447 485 490 582 588 596 679 735 745 894 970 980 1043 1164 1358 1455 1470 1490 1788 1940 2037 2086 2235 2716 2910 2940 2980 3129 3395 4074 4172 4470 4753 5215 5820 6258 6790 7301 8148 8940 9506 10185 10430 12516 13580 14259 14453 14602 15645 19012 20370 20860 21903 23765 28518 28906 29204 31290 36505 40740 43359 43806 47530 57036 57812 62580 71295 72265 73010 86718 87612 95060 101171 109515 142590 144530 146020 173436 202342 216795 219030 285180 289060 303513 404684 433590 438060 505855 607026 708197 867180 1011710 1214052 1416394 1517565 2023420 2124591 2832788 3035130 3540985 4249182 6070260 7081970 8498364 10622955 14163940 21245910 42491820