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42298520 = 23511251383
BaseRepresentation
bin1010000101011…
…0110010011000
32221120222122212
42201112302120
541312023040
64110334252
71022350205
oct241266230
987528585
1042298520
1121970560
12121ba388
1389bcb14
145890cac
153aa7d65
hex2856c98

42298520 has 64 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 15280000.

The previous prime is 42298517. The next prime is 42298547. The reversal of 42298520 is 2589224.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 110249 + ... + 110631.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 242298520 is an apocalyptic number.

42298520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42298520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

42298520 is an abundant number, since it is smaller than the sum of its proper divisors (62210920).

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

42298520 is a wasteful number, since it uses less digits than its factorization.

42298520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 42298520 is about 6503.7312367594. The cubic root of 42298520 is about 348.4242634545.

The spelling of 42298520 in words is "forty-two million, two hundred ninety-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 383 440 502 766 1004 1255 1532 1915 2008 2510 2761 3064 3830 4213 5020 5522 7660 8426 10040 11044 13805 15320 16852 21065 22088 27610 33704 42130 55220 84260 96133 110440 168520 192266 384532 480665 769064 961330 1057463 1922660 2114926 3845320 4229852 5287315 8459704 10574630 21149260 42298520