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2532928842 = 232312181809
BaseRepresentation
bin1001011011111001…
…0110110101001010
320112112011010011100
42112332112311022
520141412210332
61055201242230
7116524353123
oct22676266512
96475133140
102532928842
11108a854a24
125a8333376
133149bb582
141a058304a
15ec58267c
hex96f96d4a

2532928842 has 72 divisors (see below), whose sum is σ = 5709134340. Its totient is φ = 811555200.

The previous prime is 2532928831. The next prime is 2532928861. The reversal of 2532928842 is 2488292352.

2532928842 is a `hidden beast` number, since 2 + 5 + 329 + 288 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2494103481 + 38825361 = 49941^2 + 6231^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3130534 + ... + 3131342.

Almost surely, 22532928842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532928842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854567170).

2532928842 is an abundant number, since it is smaller than the sum of its proper divisors (3176205498).

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

2532928842 is a wasteful number, since it uses less digits than its factorization.

2532928842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1026 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2532928842 is about 50328.2111941205. The cubic root of 2532928842 is about 1363.1416776288.

The spelling of 2532928842 in words is "two billion, five hundred thirty-two million, nine hundred twenty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 181 186 279 362 543 558 809 961 1086 1618 1629 1922 2427 2883 3258 4854 5611 5766 7281 8649 11222 14562 16833 17298 25079 33666 50158 50499 75237 100998 146429 150474 173941 225711 292858 347882 439287 451422 521823 777449 878574 1043646 1317861 1554898 1565469 2332347 2635722 3130938 4539299 4664694 6997041 9078598 13617897 13994082 27235794 40853691 81707382 140718269 281436538 422154807 844309614 1266464421 2532928842