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2432409072 = 2431132232011
BaseRepresentation
bin1001000011111011…
…1001110111110000
320021112000011221220
42100332321313300
514440144042242
61041210545040
7114164064432
oct22076716760
96245004856
102432409072
111039038a35
1257a738180
132c9c25312
14191098652
15e3828bec
hex90fb9df0

2432409072 has 80 divisors (see below), whose sum is σ = 6370925568. Its totient is φ = 799626240.

The previous prime is 2432409059. The next prime is 2432409101. The reversal of 2432409072 is 2709042342.

It is a super-2 number, since 2×24324090722 = 11833227787095802368, which contains 22 as substring.

It is a congruent number.

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, 1208547 + ... + 1210557.

Almost surely, 22432409072 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 2432409072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185462784).

2432409072 is an abundant number, since it is smaller than the sum of its proper divisors (3938516496).

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

2432409072 is a wasteful number, since it uses less digits than its factorization.

2432409072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2432409072 is about 49319.4593644334. The cubic root of 2432409072 is about 1344.8655581637.

The spelling of 2432409072 in words is "two billion, four hundred thirty-two million, four hundred nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 223 226 339 446 452 669 678 892 904 1338 1356 1784 1808 2011 2676 2712 3568 4022 5352 5424 6033 8044 10704 12066 16088 24132 25199 32176 48264 50398 75597 96528 100796 151194 201592 227243 302388 403184 448453 454486 604776 681729 896906 908972 1209552 1345359 1363458 1793812 1817944 2690718 2726916 3587624 3635888 5381436 5453832 7175248 10762872 10907664 21525744 50675189 101350378 152025567 202700756 304051134 405401512 608102268 810803024 1216204536 2432409072