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39214368 = 2536412
BaseRepresentation
bin1001010110010…
…1110100100000
32201210022000000
42111211310200
540014324433
63520300000
7654213414
oct225456440
981708000
1039214368
1120154376
1211171600
13818008b
1452cad44
153699113
hex2565d20

39214368 has 126 divisors (see below), whose sum is σ = 118644057. Its totient is φ = 12752640.

The previous prime is 39214367. The next prime is 39214381. The reversal of 39214368 is 86341293.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 11209104 = 5292^2 + 3348^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (39214367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 956428 + ... + 956468.

Almost surely, 239214368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39214368

39214368 is an abundant number, since it is smaller than the sum of its proper divisors (79429689).

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

39214368 is an frugal number, since it uses more digits than its factorization.

39214368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 39214368 is about 6262.1376541881. The cubic root of 39214368 is about 339.7413488434.

The spelling of 39214368 in words is "thirty-nine million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 243 246 288 324 328 369 432 486 492 648 656 729 738 864 972 984 1107 1296 1312 1458 1476 1681 1944 1968 2214 2592 2916 2952 3321 3362 3888 3936 4428 5043 5832 5904 6642 6724 7776 8856 9963 10086 11664 11808 13284 13448 15129 17712 19926 20172 23328 26568 26896 29889 30258 35424 39852 40344 45387 53136 53792 59778 60516 79704 80688 90774 106272 119556 121032 136161 159408 161376 181548 239112 242064 272322 318816 363096 408483 478224 484128 544644 726192 816966 956448 1089288 1225449 1452384 1633932 2178576 2450898 3267864 4357152 4901796 6535728 9803592 13071456 19607184 39214368