Search a number
-
+
700049868 = 2237217591187
BaseRepresentation
bin101001101110011…
…110100111001100
31210210021012212220
4221232132213030
52413203043433
6153244255340
723230216500
oct5156364714
91723235786
10700049868
1132a183911
12176541550
13b2058cbb
1468d8c300
15416d22b3
hex29b9e9cc

700049868 has 144 divisors (see below), whose sum is σ = 2047731840. Its totient is φ = 184902144.

The previous prime is 700049849. The next prime is 700049869. The reversal of 700049868 is 868940007.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (700049869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589171 + ... + 590357.

It is an arithmetic number, because the mean of its divisors is an integer number (14220360).

Almost surely, 2700049868 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 700049868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023865920).

700049868 is an abundant number, since it is smaller than the sum of its proper divisors (1347681972).

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

700049868 is a wasteful number, since it uses less digits than its factorization.

700049868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 700049868 is about 26458.4555104791. The cubic root of 700049868 is about 887.9250860023.

The spelling of 700049868 in words is "seven hundred million, forty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 59 68 84 98 102 118 119 147 177 196 204 236 238 294 354 357 413 476 588 708 714 826 833 1003 1187 1239 1428 1652 1666 2006 2374 2478 2499 2891 3009 3332 3561 4012 4748 4956 4998 5782 6018 7021 7122 8309 8673 9996 11564 12036 14042 14244 16618 17346 20179 21063 24927 28084 33236 34692 40358 42126 49147 49854 58163 60537 70033 80716 84252 98294 99708 116326 121074 140066 141253 147441 174489 196588 210099 232652 242148 280132 282506 294882 348978 420198 423759 490231 565012 589764 697956 840396 847518 980462 988771 1190561 1470693 1695036 1960924 1977542 2381122 2941386 2966313 3431617 3571683 3955084 4762244 5882772 5932626 6863234 7143366 8333927 10294851 11865252 13726468 14286732 16667854 20589702 25001781 33335708 41179404 50003562 58337489 100007124 116674978 175012467 233349956 350024934 700049868