Search a number
-
+
3625482378 = 2371979131439
BaseRepresentation
bin1101100000011000…
…0111100010001010
3100100122222120212010
43120012013202022
524411110414003
61355430400350
7155562043320
oct33006074212
910318876763
103625482378
1115a0543631
128522000b6
1345a162a5b
14265703d10
15163447003
hexd818788a

3625482378 has 128 divisors (see below), whose sum is σ = 8921088000. Its totient is φ = 959325120.

The previous prime is 3625482361. The next prime is 3625482449. The reversal of 3625482378 is 8732845263.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 8258283 + ... + 8258721.

It is an arithmetic number, because the mean of its divisors is an integer number (69696000).

Almost surely, 23625482378 is an apocalyptic number.

3625482378 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625482378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460544000).

3625482378 is an abundant number, since it is smaller than the sum of its proper divisors (5295605622).

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

3625482378 is a wasteful number, since it uses less digits than its factorization.

3625482378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its digits is 1935360, while the sum is 48.

The square root of 3625482378 is about 60211.9786919513. The cubic root of 3625482378 is about 1536.2265485815.

The spelling of 3625482378 in words is "three billion, six hundred twenty-five million, four hundred eighty-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 79 114 131 133 158 237 262 266 393 399 439 474 553 786 798 878 917 1106 1317 1501 1659 1834 2489 2634 2751 3002 3073 3318 4503 4978 5502 6146 7467 8341 9006 9219 10349 10507 14934 16682 17423 18438 20698 21014 25023 31047 31521 34681 34846 50046 52269 57509 58387 62094 63042 69362 72443 104043 104538 115018 116774 144886 172527 175161 196631 208086 217329 242767 345054 350322 393262 402563 434658 485534 589893 658939 728301 805126 1092671 1179786 1207689 1317878 1376417 1456602 1976817 2185342 2415378 2752834 3278013 3953634 4129251 4543211 4612573 6556026 7648697 8258502 9086422 9225146 13629633 13837719 15297394 22946091 27259266 27675438 31802477 45892182 63604954 86321009 95407431 172642018 190814862 258963027 517926054 604247063 1208494126 1812741189 3625482378