Search a number
-
+
42337840 = 2451673169
BaseRepresentation
bin1010000110000…
…0011000110000
32221122222121011
42201200120300
541314302330
64111240304
71022602636
oct241403060
987588534
1042337840
1121998056
1212219094
138a0499c
1458a1356
153ab482a
hex2860630

42337840 has 40 divisors (see below), whose sum is σ = 99056160. Its totient is φ = 16828416.

The previous prime is 42337819. The next prime is 42337849. The reversal of 42337840 is 4873324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (42337849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11776 + ... + 14944.

It is an arithmetic number, because the mean of its divisors is an integer number (2476404).

Almost surely, 242337840 is an apocalyptic number.

42337840 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 42337840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49528080).

42337840 is an abundant number, since it is smaller than the sum of its proper divisors (56718320).

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

42337840 is a wasteful number, since it uses less digits than its factorization.

42337840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 42337840 is about 6506.7534147223. The cubic root of 42337840 is about 348.5321931497.

The spelling of 42337840 in words is "forty-two million, three hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3169 3340 6338 6680 12676 13360 15845 25352 31690 50704 63380 126760 253520 529223 1058446 2116892 2646115 4233784 5292230 8467568 10584460 21168920 42337840