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2423441088 = 26327975279
BaseRepresentation
bin1001000001110010…
…1100011011000000
320020220010120012100
42100130230123000
514430400103323
61040250430400
7114024623625
oct22034543300
96226116170
102423441088
111033a73182
12577732400
132c8105413
1418dc0234c
15e2b56943
hex9072c6c0

2423441088 has 84 divisors (see below), whose sum is σ = 6956389440. Its totient is φ = 806647296.

The previous prime is 2423441063. The next prime is 2423441101. The reversal of 2423441088 is 8801443242.

2423441088 is a `hidden beast` number, since 2 + 4 + 234 + 410 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456433 + ... + 461711.

It is an arithmetic number, because the mean of its divisors is an integer number (82814160).

Almost surely, 22423441088 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 2423441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478194720).

2423441088 is an abundant number, since it is smaller than the sum of its proper divisors (4532948352).

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

2423441088 is a wasteful number, since it uses less digits than its factorization.

2423441088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6081 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2423441088 is about 49228.4581111373. The cubic root of 2423441088 is about 1343.2107398312.

The spelling of 2423441088 in words is "two billion, four hundred twenty-three million, four hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 797 1594 2391 3188 4782 5279 6376 7173 9564 10558 12752 14346 15837 19128 21116 25504 28692 31674 38256 42232 47511 51008 57384 63348 76512 84464 95022 114768 126696 153024 168928 190044 229536 253392 337856 380088 459072 506784 760176 1013568 1520352 3040704 4207363 8414726 12622089 16829452 25244178 33658904 37866267 50488356 67317808 75732534 100976712 134635616 151465068 201953424 269271232 302930136 403906848 605860272 807813696 1211720544 2423441088