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964424468 = 227241432791
BaseRepresentation
bin111001011110111…
…111001100010100
32111012201211122202
4321132333030110
53433343040333
6235410544032
732620321100
oct7136771424
92435654582
10964424468
11455435417
1222ab98018
13124a62487
149212a900
1559a055e8
hex397bf314

964424468 has 72 divisors (see below), whose sum is σ = 2058686784. Its totient is φ = 393724800.

The previous prime is 964424441. The next prime is 964424471. The reversal of 964424468 is 864424469.

It is a super-2 number, since 2×9644244682 = 1860229108954166048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344153 + ... + 346943.

It is an arithmetic number, because the mean of its divisors is an integer number (28592872).

Almost surely, 2964424468 is an apocalyptic number.

964424468 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 964424468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029343392).

964424468 is an abundant number, since it is smaller than the sum of its proper divisors (1094262316).

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

964424468 is a wasteful number, since it uses less digits than its factorization.

964424468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2884 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 47.

The square root of 964424468 is about 31055.1842370964. The cubic root of 964424468 is about 987.9980180480.

Subtracting from 964424468 its reverse (864424469), we obtain a palindrome (99999999).

The spelling of 964424468 in words is "nine hundred sixty-four million, four hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 41 43 49 82 86 98 164 172 196 287 301 574 602 1148 1204 1763 2009 2107 2791 3526 4018 4214 5582 7052 8036 8428 11164 12341 19537 24682 39074 49364 78148 86387 114431 120013 136759 172774 228862 240026 273518 345548 457724 480052 547036 801017 840091 1602034 1680182 3204068 3360364 4920533 5607119 5880637 9841066 11214238 11761274 19682132 22428476 23522548 34443731 68887462 137774924 241106117 482212234 964424468