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949361868 = 2232721341399
BaseRepresentation
bin111000100101100…
…001110011001100
32110011101120122200
4320211201303030
53421014034433
6234112041500
732345304600
oct7045416314
92404346580
10949361868
11447987694
12225b33290
131218ba4b0
1490129500
155852c613
hex38961ccc

949361868 has 108 divisors (see below), whose sum is σ = 3006385200. Its totient is φ = 250375104.

The previous prime is 949361857. The next prime is 949361879. The reversal of 949361868 is 868163949.

It is an interprime number because it is at equal distance from previous prime (949361857) and next prime (949361879).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2233 + ... + 43631.

It is an arithmetic number, because the mean of its divisors is an integer number (27836900).

Almost surely, 2949361868 is an apocalyptic number.

949361868 is a gapful number since it is divisible by the number (98) 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 949361868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503192600).

949361868 is an abundant number, since it is smaller than the sum of its proper divisors (2057023332).

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

949361868 is a wasteful number, since it uses less digits than its factorization.

949361868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41436 (or 41424 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 949361868 is about 30811.7164078861. The cubic root of 949361868 is about 982.8274129739.

The spelling of 949361868 in words is "nine hundred forty-nine million, three hundred sixty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 41399 82798 124197 165596 248394 289793 372591 496788 538187 579586 745182 869379 1076374 1159172 1490364 1614561 1738758 2028551 2152748 2608137 3229122 3477516 3767309 4057102 4843683 5216274 6085653 6458244 7534618 8114204 9687366 10432548 11301927 12171306 15069236 18256959 19374732 22603854 24342612 26371163 33905781 36513918 45207708 52742326 67811562 73027836 79113489 105484652 135623124 158226978 237340467 316453956 474680934 949361868