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425101584 = 243371072237
BaseRepresentation
bin11001010101101…
…000100100010000
31002121220101202010
4121111220210100
51332311222314
6110103222520
713351206135
oct3125504420
91077811663
10425101584
111a8a60126
12ba447a40
136a0bcacb
144065a58c
15274c1059
hex19568910

425101584 has 80 divisors (see below), whose sum is σ = 1138909248. Its totient is φ = 136521216.

The previous prime is 425101561. The next prime is 425101591. The reversal of 425101584 is 485101524.

It is a super-4 number, since 4×4251015844 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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, 188914 + ... + 191150.

Almost surely, 2425101584 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 425101584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569454624).

425101584 is an abundant number, since it is smaller than the sum of its proper divisors (713807664).

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

425101584 is a wasteful number, since it uses less digits than its factorization.

425101584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 425101584 is about 20617.9917547757. The cubic root of 425101584 is about 751.9071958057.

The spelling of 425101584 in words is "four hundred twenty-five million, one hundred one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 107 111 148 214 222 296 321 428 444 592 642 856 888 1284 1712 1776 2237 2568 3959 4474 5136 6711 7918 8948 11877 13422 15836 17896 23754 26844 31672 35792 47508 53688 63344 82769 95016 107376 165538 190032 239359 248307 331076 478718 496614 662152 718077 957436 993228 1324304 1436154 1914872 1986456 2872308 3829744 3972912 5744616 8856283 11489232 17712566 26568849 35425132 53137698 70850264 106275396 141700528 212550792 425101584