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4576900572 = 2233271353443
BaseRepresentation
bin1000100001100110…
…11111010111011100
3102210222020122021000
410100303133113130
533333141304242
62034054510300
7221264004306
oct42063372734
912728218230
104576900572
111a395a5162
12a78965390
1357c2c01ba
14315c06976
151bbc2da4c
hex110cdf5dc

4576900572 has 96 divisors (see below), whose sum is σ = 11970524160. Its totient is φ = 1512276480.

The previous prime is 4576900529. The next prime is 4576900589. The reversal of 4576900572 is 2750096754.

4576900572 is a `hidden beast` number, since 4 + 5 + 76 + 9 + 0 + 0 + 572 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10331383 + ... + 10331825.

It is an arithmetic number, because the mean of its divisors is an integer number (124692960).

Almost surely, 24576900572 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 4576900572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985262080).

4576900572 is an abundant number, since it is smaller than the sum of its proper divisors (7393623588).

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

4576900572 is a wasteful number, since it uses less digits than its factorization.

4576900572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 4576900572 is about 67652.7942660168. The cubic root of 4576900572 is about 1660.3150043323.

The spelling of 4576900572 in words is "four billion, five hundred seventy-six million, nine hundred thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 353 443 542 706 813 886 1059 1084 1329 1412 1626 1772 2118 2439 2658 3177 3252 3987 4236 4878 5316 6354 7317 7974 9531 9756 11961 12708 14634 15948 19062 23922 29268 38124 47844 95663 120053 156379 191326 240106 286989 312758 360159 382652 469137 480212 573978 625516 720318 860967 938274 1080477 1147956 1407411 1440636 1721934 1876548 2160954 2582901 2814822 3241431 3443868 4222233 4321908 5165802 5629644 6482862 8444466 10331604 12965724 16888932 42378709 84757418 127136127 169514836 254272254 381408381 508544508 762816762 1144225143 1525633524 2288450286 4576900572