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2724330752 = 28111374419
BaseRepresentation
bin1010001001100001…
…1111110100000000
321000212022100012222
42202120133310000
521034412041002
61130155510212
7124340300153
oct24230376400
97025270188
102724330752
1111788a5020
12640458368
13345555140
141bbb67c9a
1510e28e1a2
hexa261fd00

2724330752 has 72 divisors (see below), whose sum is σ = 6388808160. Its totient is φ = 1143060480.

The previous prime is 2724330737. The next prime is 2724330773. The reversal of 2724330752 is 2570334272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602 + ... + 73817.

Almost surely, 22724330752 is an apocalyptic number.

2724330752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2724330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194404080).

2724330752 is an abundant number, since it is smaller than the sum of its proper divisors (3664477408).

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

2724330752 is a wasteful number, since it uses less digits than its factorization.

2724330752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74459 (or 74445 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 35.

The square root of 2724330752 is about 52195.1219176658. The cubic root of 2724330752 is about 1396.6468651266.

The spelling of 2724330752 in words is "two billion, seven hundred twenty-four million, three hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 572 704 832 1144 1408 1664 2288 2816 3328 4576 9152 18304 36608 74419 148838 297676 595352 818609 967447 1190704 1637218 1934894 2381408 3274436 3869788 4762816 6548872 7739576 9525632 10641917 13097744 15479152 19051264 21283834 26195488 30958304 42567668 52390976 61916608 85135336 104781952 123833216 170270672 209563904 247666432 340541344 681082688 1362165376 2724330752