Search a number
-
+
37112742 = 2341931187
BaseRepresentation
bin1000110110010…
…0101110100110
32120211112010000
42031210232212
534000101432
63403242130
7630311262
oct215445646
976745100
1037112742
1119a49397
1210519346
1378c5604
144d010a2
1533d157c
hex2364ba6

37112742 has 40 divisors (see below), whose sum is σ = 83661336. Its totient is φ = 12296448.

The previous prime is 37112729. The next prime is 37112767. The reversal of 37112742 is 24721173.

It is a happy number.

37112742 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 (27).

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 19 ways as a sum of consecutive naturals, for example, 30673 + ... + 31859.

Almost surely, 237112742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37112742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41830668).

37112742 is an abundant number, since it is smaller than the sum of its proper divisors (46548594).

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

37112742 is a wasteful number, since it uses less digits than its factorization.

37112742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1385 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 37112742 is about 6092.0228167662. The cubic root of 37112742 is about 333.5602936542.

The spelling of 37112742 in words is "thirty-seven million, one hundred twelve thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 579 1158 1187 1737 2374 3474 3561 5211 7122 10422 10683 15633 21366 31266 32049 64098 96147 192294 229091 458182 687273 1374546 2061819 4123638 6185457 12370914 18556371 37112742