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2432020288 = 26413472671
BaseRepresentation
bin1001000011110101…
…1010111101000000
320021111021102122111
42100331122331000
514440044122123
61041154345104
7114160555105
oct22075327500
96244242574
102432020288
1110388a2925
1257a58b194
132c9b1a379
14190dd6aac
15e379d90d
hex90f5af40

2432020288 has 56 divisors (see below), whose sum is σ = 4959851904. Its totient is φ = 1182489600.

The previous prime is 2432020237. The next prime is 2432020303. The reversal of 2432020288 is 8820202342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909193 + ... + 911863.

It is an arithmetic number, because the mean of its divisors is an integer number (88568784).

Almost surely, 22432020288 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 2432020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479925952).

2432020288 is an abundant number, since it is smaller than the sum of its proper divisors (2527831616).

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

2432020288 is a wasteful number, since it uses less digits than its factorization.

2432020288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 2432020288 is about 49315.5177200848. The cubic root of 2432020288 is about 1344.7939021696.

The spelling of 2432020288 in words is "two billion, four hundred thirty-two million, twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 347 656 694 1312 1388 2624 2671 2776 5342 5552 10684 11104 14227 21368 22208 28454 42736 56908 85472 109511 113816 170944 219022 227632 438044 455264 876088 910528 926837 1752176 1853674 3504352 3707348 7008704 7414696 14829392 29658784 38000317 59317568 76000634 152001268 304002536 608005072 1216010144 2432020288