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4332096 = 263323109
BaseRepresentation
bin10000100001101001000000
322011002112000
4100201221000
52102111341
6232504000
751552006
oct20415100
98132460
104332096
11249984a
12154b000
13b88a92
1480aa76
155a88b6
hex421a40

4332096 has 112 divisors (see below), whose sum is σ = 13411200. Its totient is φ = 1368576.

The previous prime is 4332091. The next prime is 4332143. The reversal of 4332096 is 6902334.

4332096 is a nontrivial binomial coefficient, being equal to C(2944, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4332091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39690 + ... + 39798.

Almost surely, 24332096 is an apocalyptic number.

4332096 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

4332096 is the 2943-rd triangular number and also the 1472-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705600).

4332096 is an abundant number, since it is smaller than the sum of its proper divisors (9079104).

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

4332096 is a wasteful number, since it uses less digits than its factorization.

4332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 4332096 is about 2081.3687803943. The cubic root of 4332096 is about 163.0169227289.

The spelling of 4332096 in words is "four million, three hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 109 138 144 184 192 207 216 218 276 288 327 368 414 432 436 552 576 621 654 736 828 864 872 981 1104 1242 1308 1472 1656 1728 1744 1962 2208 2484 2507 2616 2943 3312 3488 3924 4416 4968 5014 5232 5886 6624 6976 7521 7848 9936 10028 10464 11772 13248 15042 15696 19872 20056 20928 22563 23544 30084 31392 39744 40112 45126 47088 60168 62784 67689 80224 90252 94176 120336 135378 160448 180504 188352 240672 270756 361008 481344 541512 722016 1083024 1444032 2166048 4332096