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37426389 = 3711313103
BaseRepresentation
bin1000111011000…
…1010011010101
32121102110100120
42032301103111
534040121024
63414102153
7633055560
oct216612325
977373316
1037426389
111a143000
121064a959
1379a52c0
144d834d7
153444479
hex23b14d5

37426389 has 64 divisors (see below), whose sum is σ = 68210688. Its totient is φ = 17772480.

The previous prime is 37426289. The next prime is 37426397. The reversal of 37426389 is 98362473.

37426389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37426389 - 213 = 37418197 is a prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 37426389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37426289) 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 63 ways as a sum of consecutive naturals, for example, 363312 + ... + 363414.

It is an arithmetic number, because the mean of its divisors is an integer number (1065792).

Almost surely, 237426389 is an apocalyptic number.

37426389 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

37426389 is a deficient number, since it is larger than the sum of its proper divisors (30784299).

37426389 is a wasteful number, since it uses less digits than its factorization.

37426389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 37426389 is about 6117.7110915767. The cubic root of 37426389 is about 334.4973198969.

It can be divided in two parts, 37 and 426389, that added together give a triangular number (426426 = T923).

The spelling of 37426389 in words is "thirty-seven million, four hundred twenty-six thousand, three hundred eighty-nine".

Divisors: 1 3 7 11 13 21 33 39 77 91 103 121 143 231 273 309 363 429 721 847 1001 1133 1331 1339 1573 2163 2541 3003 3399 3993 4017 4719 7931 9317 9373 11011 12463 14729 17303 23793 27951 28119 33033 37389 44187 51909 87241 103103 121121 137093 162019 261723 309309 363363 411279 486057 959651 1134133 1782209 2878953 3402399 5346627 12475463 37426389