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4272481400 = 2352119720021
BaseRepresentation
bin1111111010101000…
…1110010001111000
3102000202102112122212
43332222032101320
532222223401100
61543542034252
7210606330665
oct37652162170
912022375585
104272481400
1118a2782570
129b2a18988
13531205b05
142c7602a6c
151a014a635
hexfea8e478

4272481400 has 96 divisors (see below), whose sum is σ = 10948830480. Its totient is φ = 1537536000.

The previous prime is 4272481399. The next prime is 4272481459. The reversal of 4272481400 is 41842724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203390 + ... + 223410.

Almost surely, 24272481400 is an apocalyptic number.

4272481400 is a gapful number since it is divisible by the number (40) 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 4272481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474415240).

4272481400 is an abundant number, since it is smaller than the sum of its proper divisors (6676349080).

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

4272481400 is a wasteful number, since it uses less digits than its factorization.

4272481400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145 (or 20136 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 4272481400 is about 65364.2210999259. The cubic root of 4272481400 is about 1622.6569973349.

The spelling of 4272481400 in words is "four billion, two hundred seventy-two million, four hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2134 2200 2425 3880 4268 4850 5335 8536 9700 10670 19400 20021 21340 26675 40042 42680 53350 80084 100105 106700 160168 200210 213400 220231 400420 440462 500525 800840 880924 1001050 1101155 1761848 1942037 2002100 2202310 3884074 4004200 4404620 5505775 7768148 8809240 9710185 11011550 15536296 19420370 21362407 22023100 38840740 42724814 44046200 48550925 77681480 85449628 97101850 106812035 170899256 194203700 213624070 388407400 427248140 534060175 854496280 1068120350 2136240700 4272481400