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42413880 = 2335571619
BaseRepresentation
bin1010000111001…
…0111100111000
32221210211220110
42201302330320
541324221010
64113024320
71023340425
oct241627470
987724813
1042413880
1121a3a1a3
12122550a0
138a30492
1458c0d4c
153acc120
hex2872f38

42413880 has 64 divisors (see below), whose sum is σ = 127670400. Its totient is φ = 11272320.

The previous prime is 42413857. The next prime is 42413897. The reversal of 42413880 is 8831424.

42413880 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 15 ways as a sum of consecutive naturals, for example, 68211 + ... + 68829.

It is an arithmetic number, because the mean of its divisors is an integer number (1994850).

Almost surely, 242413880 is an apocalyptic number.

42413880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42413880 is an abundant number, since it is smaller than the sum of its proper divisors (85256520).

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

42413880 is a wasteful number, since it uses less digits than its factorization.

42413880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42413880 is about 6512.5939532570. The cubic root of 42413880 is about 348.7407263628.

The spelling of 42413880 in words is "forty-two million, four hundred thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 571 619 1142 1238 1713 1857 2284 2476 2855 3095 3426 3714 4568 4952 5710 6190 6852 7428 8565 9285 11420 12380 13704 14856 17130 18570 22840 24760 34260 37140 68520 74280 353449 706898 1060347 1413796 1767245 2120694 2827592 3534490 4241388 5301735 7068980 8482776 10603470 14137960 21206940 42413880