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42291040 = 2551124029
BaseRepresentation
bin1010000101010…
…0111101100000
32221120121101211
42201110331200
541311303130
64110235504
71022316331
oct241247540
987517354
1042291040
1121965980
12121b5b94
1389b95ac
14588c288
153aa5a2a
hex2854f60

42291040 has 48 divisors (see below), whose sum is σ = 109000080. Its totient is φ = 15377920.

The previous prime is 42290999. The next prime is 42291047. The reversal of 42291040 is 4019224.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42291047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10255 + ... + 13774.

It is an arithmetic number, because the mean of its divisors is an integer number (2270835).

Almost surely, 242291040 is an apocalyptic number.

42291040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42291040 is an abundant number, since it is smaller than the sum of its proper divisors (66709040).

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

42291040 is a wasteful number, since it uses less digits than its factorization.

42291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24055 (or 24047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 42291040 is about 6503.1561568211. The cubic root of 42291040 is about 348.4037239878.

The spelling of 42291040 in words is "forty-two million, two hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 24029 48058 96116 120145 192232 240290 264319 384464 480580 528638 768928 961160 1057276 1321595 1922320 2114552 2643190 3844640 4229104 5286380 8458208 10572760 21145520 42291040