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42049290 = 23523149409
BaseRepresentation
bin1010000001100…
…1111100001010
32221010022210010
42200121330022
541231034130
64101132350
71020261453
oct240317412
987108703
1042049290
1121810288
12120ba0b6
13893354a
14582812a
153a590b0
hex2819f0a

42049290 has 64 divisors (see below), whose sum is σ = 106272000. Its totient is φ = 10627584.

The previous prime is 42049283. The next prime is 42049303. The reversal of 42049290 is 9294024.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102606 + ... + 103014.

It is an arithmetic number, because the mean of its divisors is an integer number (1660500).

Almost surely, 242049290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42049290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53136000).

42049290 is an abundant number, since it is smaller than the sum of its proper divisors (64222710).

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

42049290 is a wasteful number, since it uses less digits than its factorization.

42049290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42049290 is about 6484.5423894057. The cubic root of 42049290 is about 347.7385901815.

The spelling of 42049290 in words is "forty-two million, forty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 149 230 298 345 409 447 690 745 818 894 1227 1490 2045 2235 2454 3427 4090 4470 6135 6854 9407 10281 12270 17135 18814 20562 28221 34270 47035 51405 56442 60941 94070 102810 121882 141105 182823 282210 304705 365646 609410 914115 1401643 1828230 2803286 4204929 7008215 8409858 14016430 21024645 42049290