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2423505888 = 2532137239257
BaseRepresentation
bin1001000001110011…
…1100001111100000
320020220020212002100
42100130330033200
514430404142023
61040252050400
7114025313556
oct22034741740
96226225070
102423505888
111034007931
12577763a00
132c8128a6b
1418dc1bbd6
15e2b6ac43
hex9073c3e0

2423505888 has 144 divisors (see below), whose sum is σ = 6998322240. Its totient is φ = 795475968.

The previous prime is 2423505871. The next prime is 2423505911. The reversal of 2423505888 is 8885053242.

2423505888 is a `hidden beast` number, since 242 + 350 + 58 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 9429856 + ... + 9430112.

It is an arithmetic number, because the mean of its divisors is an integer number (48599460).

Almost surely, 22423505888 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 2423505888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499161120).

2423505888 is an abundant number, since it is smaller than the sum of its proper divisors (4574816352).

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

2423505888 is a wasteful number, since it uses less digits than its factorization.

2423505888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 2423505888 is about 49229.1162626347. The cubic root of 2423505888 is about 1343.2227116896. Note that the first 3 decimals are identical.

The spelling of 2423505888 in words is "two billion, four hundred twenty-three million, five hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 239 257 274 288 411 478 514 548 717 771 822 956 1028 1096 1233 1434 1542 1644 1912 2056 2151 2192 2313 2466 2868 3084 3288 3824 4112 4302 4384 4626 4932 5736 6168 6576 7648 8224 8604 9252 9864 11472 12336 13152 17208 18504 19728 22944 24672 32743 34416 35209 37008 39456 61423 65486 68832 70418 74016 98229 105627 122846 130972 140836 184269 196458 211254 245692 261944 281672 294687 316881 368538 392916 422508 491384 523888 552807 563344 589374 633762 737076 785832 845016 982768 1047776 1105614 1126688 1178748 1267524 1474152 1571664 1690032 1965536 2211228 2357496 2535048 2948304 3143328 3380064 4422456 4714992 5070096 5896608 8414951 8844912 9429984 10140192 16829902 17689824 25244853 33659804 50489706 67319608 75734559 100979412 134639216 151469118 201958824 269278432 302938236 403917648 605876472 807835296 1211752944 2423505888