Search a number
-
+
39850965 = 32572113153
BaseRepresentation
bin1001100000000…
…1001111010101
32202222122020200
42120001033111
540200212330
63542051113
7662504400
oct230011725
982878220
1039850965
1120549690
1211419a99
138343a6b
145414d37
153772a60
hex26013d5

39850965 has 144 divisors (see below), whose sum is σ = 92192256. Its totient is φ = 15724800.

The previous prime is 39850963. The next prime is 39850969. The reversal of 39850965 is 56905893.

It is not a de Polignac number, because 39850965 - 21 = 39850963 is a prime.

It is a super-2 number, since 2×398509652 = 3176198822862450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 39850965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39850963) 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 143 ways as a sum of consecutive naturals, for example, 751879 + ... + 751931.

It is an arithmetic number, because the mean of its divisors is an integer number (640224).

Almost surely, 239850965 is an apocalyptic number.

39850965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

39850965 is an abundant number, since it is smaller than the sum of its proper divisors (52341291).

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

39850965 is a wasteful number, since it uses less digits than its factorization.

39850965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 39850965 is about 6312.7620737677. The cubic root of 39850965 is about 341.5699169513.

The spelling of 39850965 in words is "thirty-nine million, eight hundred fifty thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 31 33 35 45 49 53 55 63 77 93 99 105 147 155 159 165 217 231 245 265 279 315 341 371 385 441 465 477 495 539 583 651 693 735 795 1023 1085 1113 1155 1395 1519 1617 1643 1705 1749 1855 1953 2205 2385 2387 2597 2695 2915 3069 3255 3339 3465 4081 4557 4851 4929 5115 5247 5565 7161 7595 7791 8085 8215 8745 9765 11501 11935 12243 12985 13671 14787 15345 16695 16709 18073 20405 21483 22785 23373 24255 24645 26235 28567 34503 35805 36729 38955 50127 54219 57505 61215 68355 73935 80507 83545 85701 90365 103509 107415 116865 126511 142835 150381 162657 172515 183645 241521 250635 257103 271095 379533 402535 428505 517545 632555 724563 751905 813285 885577 1138599 1207605 1285515 1897665 2656731 3622815 4427885 5692995 7970193 13283655 39850965