Search a number
-
+
42283920 = 2435725169
BaseRepresentation
bin1010000101001…
…1001110010000
32221120020122010
42201103032100
541311041140
64110142520
71022256510
oct241231620
987506563
1042283920
1121960598
12121b1a40
1389b6293
145889840
153aa3880
hex2853390

42283920 has 80 divisors (see below), whose sum is σ = 149811840. Its totient is φ = 9664512.

The previous prime is 42283909. The next prime is 42283931. The reversal of 42283920 is 2938224.

It is an interprime number because it is at equal distance from previous prime (42283909) and next prime (42283931).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10905 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (1872648).

Almost surely, 242283920 is an apocalyptic number.

42283920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42283920 is an abundant number, since it is smaller than the sum of its proper divisors (107527920).

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

42283920 is a wasteful number, since it uses less digits than its factorization.

42283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25192 (or 25186 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42283920 is about 6502.6087072805. The cubic root of 42283920 is about 348.3841708016.

The spelling of 42283920 in words is "forty-two million, two hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 25169 50338 75507 100676 125845 151014 176183 201352 251690 302028 352366 377535 402704 503380 528549 604056 704732 755070 880915 1006760 1057098 1208112 1409464 1510140 1761830 2013520 2114196 2642745 2818928 3020280 3523660 4228392 5285490 6040560 7047320 8456784 10570980 14094640 21141960 42283920