Search a number
-
+
39494640 = 243543289
BaseRepresentation
bin1001011010101…
…0001111110000
32202022112110110
42112222033300
540102312030
63530301320
7656461503
oct226521760
982275413
1039494640
11203259a9
1211287840
13824a813
14536113a
1537021b0
hex25aa3f0

39494640 has 120 divisors (see below), whose sum is σ = 126755280. Its totient is φ = 10171392.

The previous prime is 39494639. The next prime is 39494641. The reversal of 39494640 is 4649493.

39494640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39494639) and next prime (39494641).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39494641) 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 23 ways as a sum of consecutive naturals, for example, 443716 + ... + 443804.

It is an arithmetic number, because the mean of its divisors is an integer number (1056294).

Almost surely, 239494640 is an apocalyptic number.

39494640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39494640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63377640).

39494640 is an abundant number, since it is smaller than the sum of its proper divisors (87260640).

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

39494640 is a wasteful number, since it uses less digits than its factorization.

39494640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 39494640 is about 6284.4761118171. The cubic root of 39494640 is about 340.5488252634.

The spelling of 39494640 in words is "thirty-nine million, four hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 89 120 129 172 178 215 240 258 267 344 356 430 445 516 534 645 688 712 860 890 1032 1068 1290 1335 1424 1720 1780 1849 2064 2136 2580 2670 3440 3560 3698 3827 4272 5160 5340 5547 7120 7396 7654 9245 10320 10680 11094 11481 14792 15308 18490 19135 21360 22188 22962 27735 29584 30616 36980 38270 44376 45924 55470 57405 61232 73960 76540 88752 91848 110940 114810 147920 153080 164561 183696 221880 229620 306160 329122 443760 459240 493683 658244 822805 918480 987366 1316488 1645610 1974732 2468415 2632976 3291220 3949464 4936830 6582440 7898928 9873660 13164880 19747320 39494640