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37944090 = 23251732437
BaseRepresentation
bin1001000010111…
…1101100011010
32122101202111200
42100233230122
534203202330
63433135030
7640343112
oct220575432
978352450
1037944090
111a466a58
121085a476
137b26b32
14507a042
1534e7a60
hex242fb1a

37944090 has 48 divisors (see below), whose sum is σ = 99265608. Its totient is φ = 10055808.

The previous prime is 37944059. The next prime is 37944107. The reversal of 37944090 is 9044973.

37944090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37859409 + 84681 = 6153^2 + 291^2 .

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 14352 + ... + 16788.

Almost surely, 237944090 is an apocalyptic number.

37944090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37944090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49632804).

37944090 is an abundant number, since it is smaller than the sum of its proper divisors (61321518).

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

37944090 is a wasteful number, since it uses less digits than its factorization.

37944090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 37944090 is about 6159.8774338456. The cubic root of 37944090 is about 336.0325754981.

The spelling of 37944090 in words is "thirty-seven million, nine hundred forty-four thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 865 1038 1557 1730 2437 2595 3114 4874 5190 7311 7785 12185 14622 15570 21933 24370 36555 43866 73110 109665 219330 421601 843202 1264803 2108005 2529606 3794409 4216010 6324015 7588818 12648030 18972045 37944090