Search a number
-
+
37742468 = 2241230137
BaseRepresentation
bin1000111111111…
…0011110000100
32122000111221012
42033332132010
534130224333
63424541352
7635543231
oct217763604
978014835
1037742468
111a339525
1210781858
137a8612a
145026788
1534a7e48
hex23fe784

37742468 has 12 divisors (see below), whose sum is σ = 67660572. Its totient is φ = 18410880.

The previous prime is 37742447. The next prime is 37742489. The reversal of 37742468 is 86424773.

It is an interprime number because it is at equal distance from previous prime (37742447) and next prime (37742489).

It can be written as a sum of positive squares in 2 ways, for example, as 11343424 + 26399044 = 3368^2 + 5138^2 .

It is a super-3 number, since 3×377424683 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114905 + ... + 115232.

It is an arithmetic number, because the mean of its divisors is an integer number (5638381).

Almost surely, 237742468 is an apocalyptic number.

It is an amenable number.

37742468 is a deficient number, since it is larger than the sum of its proper divisors (29918104).

37742468 is a wasteful number, since it uses less digits than its factorization.

37742468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230182 (or 230180 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 37742468 is about 6143.4898876778. The cubic root of 37742468 is about 335.4363305285.

The spelling of 37742468 in words is "thirty-seven million, seven hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 4 41 82 164 230137 460274 920548 9435617 18871234 37742468