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2423008032 = 25343607967
BaseRepresentation
bin1001000001101100…
…0010101100100000
320020212022120011020
42100123002230200
514430242224112
61040233245440
7114021141234
oct22033025440
96225276136
102423008032
1110337a7885
12577563880
132c7cb3283
1418db2c5c4
15e2abd48c
hex906c2b20

2423008032 has 96 divisors (see below), whose sum is σ = 6525775872. Its totient is φ = 786772224.

The previous prime is 2423008031. The next prime is 2423008039. The reversal of 2423008032 is 2308003242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2423007993 and 2423008011.

It is not an unprimeable number, because it can be changed into a prime (2423008031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2505213 + ... + 2506179.

It is an arithmetic number, because the mean of its divisors is an integer number (67976832).

Almost surely, 22423008032 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 2423008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262887936).

2423008032 is an abundant number, since it is smaller than the sum of its proper divisors (4102767840).

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

2423008032 is a wasteful number, since it uses less digits than its factorization.

2423008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2423008032 is about 49224.0594831430. The cubic root of 2423008032 is about 1343.1307268661.

The spelling of 2423008032 in words is "two billion, four hundred twenty-three million, eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 607 688 967 1032 1214 1376 1821 1934 2064 2428 2901 3642 3868 4128 4856 5802 7284 7736 9712 11604 14568 15472 19424 23208 26101 29136 30944 41581 46416 52202 58272 78303 83162 92832 104404 124743 156606 166324 208808 249486 313212 332648 417616 498972 586969 626424 665296 835232 997944 1173938 1252848 1330592 1760907 1995888 2347876 2505696 3521814 3991776 4695752 7043628 9391504 14087256 18783008 25239667 28174512 50479334 56349024 75719001 100958668 151438002 201917336 302876004 403834672 605752008 807669344 1211504016 2423008032