Search a number
-
+
39338136 = 2334173571
BaseRepresentation
bin1001011000010…
…0000010011000
32202000120210000
42112010002120
540032310021
63523053000
7655240305
oct226040230
982016700
1039338136
1120229362
1211211160
1381c4506
1453200ac
1536c0b26
hex2584098

39338136 has 80 divisors (see below), whose sum is σ = 116697240. Its totient is φ = 12337920.

The previous prime is 39338111. The next prime is 39338149. The reversal of 39338136 is 63183393.

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 a self number, because there is not a number n which added to its sum of digits gives 39338136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9231 + ... + 12801.

Almost surely, 239338136 is an apocalyptic number.

39338136 is a gapful number since it is divisible by the number (36) 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 39338136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58348620).

39338136 is an abundant number, since it is smaller than the sum of its proper divisors (77359104).

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

39338136 is a wasteful number, since it uses less digits than its factorization.

39338136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3593 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 39338136 is about 6272.0121173352. The cubic root of 39338136 is about 340.0984028900.

The spelling of 39338136 in words is "thirty-nine million, three hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3571 3672 5508 7142 10713 11016 14284 21426 28568 32139 42852 60707 64278 85704 96417 121414 128556 182121 192834 242828 257112 289251 364242 385668 485656 546363 578502 728484 771336 1092726 1157004 1456968 1639089 2185452 2314008 3278178 4370904 4917267 6556356 9834534 13112712 19669068 39338136