Search a number
-
+
37072428 = 2233089369
BaseRepresentation
bin1000110101101…
…0111000101100
32120202110210220
42031122320230
533442304203
63402331340
7630052611
oct215327054
976673726
1037072428
1119a21078
12104b9b50
1378b0163
144cd0508
1533c4653
hex235ae2c

37072428 has 12 divisors (see below), whose sum is σ = 86502360. Its totient is φ = 12357472.

The previous prime is 37072421. The next prime is 37072429. The reversal of 37072428 is 82427073.

37072428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×370724283 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (37072421) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1544673 + ... + 1544696.

It is an arithmetic number, because the mean of its divisors is an integer number (7208530).

Almost surely, 237072428 is an apocalyptic number.

It is an amenable number.

37072428 is an abundant number, since it is smaller than the sum of its proper divisors (49429932).

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

37072428 is a wasteful number, since it uses less digits than its factorization.

37072428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089376 (or 3089374 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 37072428 is about 6088.7131645365. The cubic root of 37072428 is about 333.4394724221.

The spelling of 37072428 in words is "thirty-seven million, seventy-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 3089369 6178738 9268107 12357476 18536214 37072428