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42231840 = 2535712569
BaseRepresentation
bin1010000100011…
…0100000100000
32221110121012020
42201012200200
541302404330
64105101440
71021651620
oct241064040
987417166
1042231840
1121925452
1212187880
138998671
145874880
153a93210
hex2846820

42231840 has 96 divisors (see below), whose sum is σ = 152046720. Its totient is φ = 9652224.

The previous prime is 42231823. The next prime is 42231853. The reversal of 42231840 is 4813224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42231840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2925 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (1583820).

Almost surely, 242231840 is an apocalyptic number.

42231840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42231840 is an abundant number, since it is smaller than the sum of its proper divisors (109814880).

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

42231840 is a wasteful number, since it uses less digits than its factorization.

42231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42231840 is about 6498.6029267836. The cubic root of 42231840 is about 348.2410801435.

It can be divided in two parts, 42231 and 840, that added together give a triangular number (43071 = T293).

The spelling of 42231840 in words is "forty-two million, two hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 12569 25138 37707 50276 62845 75414 87983 100552 125690 150828 175966 188535 201104 251380 263949 301656 351932 377070 402208 439915 502760 527898 603312 703864 754140 879830 1005520 1055796 1206624 1319745 1407728 1508280 1759660 2011040 2111592 2639490 2815456 3016560 3519320 4223184 5278980 6033120 7038640 8446368 10557960 14077280 21115920 42231840