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2401555552 = 2511113173349
BaseRepresentation
bin1000111100100100…
…1101010001100000
320012100221122212221
42033021031101200
514404244234202
61034145400424
7113340612454
oct21711152140
96170848787
102401555552
111022685260
12570339114
132c37119b6
1418ad46664
15e0c82037
hex8f24d460

2401555552 has 96 divisors (see below), whose sum is σ = 5248605600. Its totient is φ = 1072619520.

The previous prime is 2401555531. The next prime is 2401555553. The reversal of 2401555552 is 2555551042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401555553) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6881074 + ... + 6881422.

It is an arithmetic number, because the mean of its divisors is an integer number (54672975).

Almost surely, 22401555552 is an apocalyptic number.

2401555552 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 2401555552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624302800).

2401555552 is an abundant number, since it is smaller than the sum of its proper divisors (2847050048).

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

2401555552 is a wasteful number, since it uses less digits than its factorization.

2401555552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 34.

The square root of 2401555552 is about 49005.6685700746. The cubic root of 2401555552 is about 1339.1550981825.

The spelling of 2401555552 in words is "two billion, four hundred one million, five hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 113 173 176 226 346 349 352 452 692 698 904 1243 1384 1396 1808 1903 2486 2768 2792 3616 3806 3839 4972 5536 5584 7612 7678 9944 11168 15224 15356 19549 19888 30448 30712 39098 39437 39776 60377 60896 61424 78196 78874 120754 122848 156392 157748 215039 241508 312784 315496 430078 433807 483016 625568 630992 664147 860156 867614 966032 1261984 1328294 1720312 1735228 1932064 2656588 3440624 3470456 5313176 6822601 6881248 6940912 10626352 13645202 13881824 21252704 27290404 54580808 75048611 109161616 150097222 218323232 300194444 600388888 1200777776 2401555552