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2432750268 = 2231324725523
BaseRepresentation
bin1001000100000000…
…1101001010111100
320021112122111222210
42101000031022330
514440241002033
61041222140420
7114200015244
oct22100151274
96245574883
102432750268
111039251313
1257a881710
132ca014700
14191146b24
15e3894d63
hex9100d2bc

2432750268 has 72 divisors (see below), whose sum is σ = 6277678848. Its totient is φ = 732583488.

The previous prime is 2432750261. The next prime is 2432750321. The reversal of 2432750268 is 8620572342.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432750261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82555 + ... + 108077.

It is an arithmetic number, because the mean of its divisors is an integer number (87189984).

Almost surely, 22432750268 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 2432750268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138839424).

2432750268 is an abundant number, since it is smaller than the sum of its proper divisors (3844928580).

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

2432750268 is a wasteful number, since it uses less digits than its factorization.

2432750268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25603 (or 25588 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2432750268 is about 49322.9182834917. The cubic root of 2432750268 is about 1344.9284370192.

The spelling of 2432750268 in words is "two billion, four hundred thirty-two million, seven hundred fifty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 169 188 282 338 507 564 611 676 1014 1222 1833 2028 2444 3666 7332 7943 15886 23829 25523 31772 47658 51046 76569 95316 102092 153138 306276 331799 663598 995397 1199581 1327196 1990794 2399162 3598743 3981588 4313387 4798324 7197486 8626774 12940161 14394972 15594553 17253548 25880322 31189106 46783659 51760644 62378212 93567318 187134636 202729189 405458378 608187567 810916756 1216375134 2432750268