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64822968 = 23327413137
BaseRepresentation
bin1111011101000…
…1111010111000
311111222100101200
43313101322320
5113043313333
610233214200
71414662150
oct367217270
9144870350
1064822968
1133655501
1219861360
13105782b2
148875760
155a56c13
hex3dd1eb8

64822968 has 96 divisors (see below), whose sum is σ = 205601760. Its totient is φ = 18063360.

The previous prime is 64822963. The next prime is 64822987. The reversal of 64822968 is 86922846.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64822963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19096 + ... + 22232.

It is an arithmetic number, because the mean of its divisors is an integer number (2141685).

Almost surely, 264822968 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 64822968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102800880).

64822968 is an abundant number, since it is smaller than the sum of its proper divisors (140778792).

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

64822968 is a wasteful number, since it uses less digits than its factorization.

64822968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3190 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 64822968 is about 8051.2712039777. The cubic root of 64822968 is about 401.7072198017.

The spelling of 64822968 in words is "sixty-four million, eight hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3137 3444 5166 6274 6888 9411 10332 12548 18822 20664 21959 25096 28233 37644 43918 56466 65877 75288 87836 112932 128617 131754 175672 197631 225864 257234 263508 385851 395262 514468 527016 771702 790524 900319 1028936 1157553 1543404 1581048 1800638 2315106 2700957 3086808 3601276 4630212 5401914 7202552 8102871 9260424 10803828 16205742 21607656 32411484 64822968