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2428502032 = 2411471731697
BaseRepresentation
bin1001000011000000…
…0000000000010000
320021020122200111201
42100300000000100
514433144031112
61040551120544
7114115632565
oct22060000020
96236580451
102428502032
11103690a580
12579373154
132c9187b68
1419075c86c
15e3306257
hex90c00010

2428502032 has 80 divisors (see below), whose sum is σ = 5275590912. Its totient is φ = 1073500160.

The previous prime is 2428501997. The next prime is 2428502039. The reversal of 2428502032 is 2302058242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2428502039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1430208 + ... + 1431904.

Almost surely, 22428502032 is an apocalyptic number.

2428502032 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 2428502032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637795456).

2428502032 is an abundant number, since it is smaller than the sum of its proper divisors (2847088880).

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

2428502032 is a wasteful number, since it uses less digits than its factorization.

2428502032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2428502032 is about 49279.8339282916. The cubic root of 2428502032 is about 1344.1451120008.

The spelling of 2428502032 in words is "two billion, four hundred twenty-eight million, five hundred two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 173 176 188 346 376 517 692 752 1034 1384 1697 1903 2068 2768 3394 3806 4136 6788 7612 8131 8272 13576 15224 16262 18667 27152 30448 32524 37334 65048 74668 79759 89441 130096 149336 159518 178882 293581 298672 319036 357764 587162 638072 715528 877349 1174324 1276144 1431056 1754698 2348648 3229391 3509396 4697296 6458782 7018792 12917564 13798307 14037584 25835128 27596614 51670256 55193228 110386456 151781377 220772912 303562754 607125508 1214251016 2428502032