Search a number
-
+
39742248 = 23371331587
BaseRepresentation
bin1001011110011…
…0101100101000
32202210010010010
42113212230220
540133222443
63535451520
7661542420
oct227465450
982703103
1039742248
1120484a37
1211386ba0
138306430
1453c7480
153750733
hex25e6b28

39742248 has 128 divisors (see below), whose sum is σ = 126443520. Its totient is φ = 10126080.

The previous prime is 39742207. The next prime is 39742253. The reversal of 39742248 is 84224793.

39742248 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 (39).

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 31 ways as a sum of consecutive naturals, for example, 67411 + ... + 67997.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 239742248 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 39742248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63221760).

39742248 is an abundant number, since it is smaller than the sum of its proper divisors (86701272).

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

39742248 is a wasteful number, since it uses less digits than its factorization.

39742248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 39742248 is about 6304.1453028940. The cubic root of 39742248 is about 341.2590229604.

The spelling of 39742248 in words is "thirty-nine million, seven hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 587 651 728 744 806 868 1092 1174 1209 1302 1612 1736 1761 2184 2348 2418 2604 2821 3224 3522 4109 4696 4836 5208 5642 7044 7631 8218 8463 9672 11284 12327 14088 15262 16436 16926 18197 22568 22893 24654 30524 32872 33852 36394 45786 49308 53417 54591 61048 67704 72788 91572 98616 106834 109182 127379 145576 160251 183144 213668 218364 236561 254758 320502 382137 427336 436728 473122 509516 641004 709683 764274 946244 1019032 1282008 1419366 1528548 1655927 1892488 2838732 3057096 3311854 4967781 5677464 6623708 9935562 13247416 19871124 39742248