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4525064384 = 26417983263
BaseRepresentation
bin1000011011011011…
…10000000011000000
3102200100201002101012
410031231300003000
533231404030014
62025003500052
7220064261351
oct41555600300
912610632335
104525064384
111a1230a935
12a63527628
135716410b9
1430cd91d28
151b73dec3e
hex10db700c0

4525064384 has 112 divisors (see below), whose sum is σ = 9462942720. Its totient is φ = 2144962560.

The previous prime is 4525064351. The next prime is 4525064393. The reversal of 4525064384 is 4834605254.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17205437 + ... + 17205699.

It is an arithmetic number, because the mean of its divisors is an integer number (84490560).

Almost surely, 24525064384 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 4525064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731471360).

4525064384 is an abundant number, since it is smaller than the sum of its proper divisors (4937878336).

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

4525064384 is a wasteful number, since it uses less digits than its factorization.

4525064384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The square root of 4525064384 is about 67268.5987961694. The cubic root of 4525064384 is about 1654.0231648482.

The spelling of 4525064384 in words is "four billion, five hundred twenty-five million, sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 79 82 83 158 164 166 263 316 328 332 526 632 656 664 1052 1264 1312 1328 2104 2528 2624 2656 3239 3403 4208 5056 5312 6478 6557 6806 8416 10783 12956 13114 13612 16832 20777 21566 21829 25912 26228 27224 41554 43132 43658 51824 52456 54448 83108 86264 87316 103648 104912 108896 166216 172528 174632 207296 209824 217792 268837 332432 345056 349264 419648 537674 664864 690112 698528 851857 894989 1075348 1329728 1397056 1703714 1724491 1789978 2150696 3407428 3448982 3579956 4301392 6814856 6897964 7159912 8602784 13629712 13795928 14319824 17205568 27259424 27591856 28639648 54518848 55183712 57279296 70704131 110367424 141408262 282816524 565633048 1131266096 2262532192 4525064384