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4187056272 = 243728532087
BaseRepresentation
bin1111100110010001…
…0110100010010000
3101210210200111102020
43321210112202100
532033341300042
61531251051440
7205521251100
oct37144264220
911723614366
104187056272
111859536393
1298a2a0b80
135195c62b9
142ba127200
151978c43ec
hexf9916890

4187056272 has 120 divisors (see below), whose sum is σ = 12603318336. Its totient is φ = 1194326784.

The previous prime is 4187056253. The next prime is 4187056283. The reversal of 4187056272 is 2726507814.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2005213 + ... + 2007299.

Almost surely, 24187056272 is an apocalyptic number.

4187056272 is a gapful number since it is divisible by the number (42) 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 4187056272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301659168).

4187056272 is an abundant number, since it is smaller than the sum of its proper divisors (8416262064).

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

4187056272 is a wasteful number, since it uses less digits than its factorization.

4187056272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 4187056272 is about 64707.4668952510. The cubic root of 4187056272 is about 1611.7694974659.

The spelling of 4187056272 in words is "four billion, one hundred eighty-seven million, fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 853 1176 1706 2087 2352 2559 3412 4174 5118 5971 6261 6824 8348 10236 11942 12522 13648 14609 16696 17913 20472 23884 25044 29218 33392 35826 40944 41797 43827 47768 50088 58436 71652 83594 87654 95536 100176 102263 116872 125391 143304 167188 175308 204526 233744 250782 286608 306789 334376 350616 409052 501564 613578 668752 701232 818104 1003128 1227156 1636208 1780211 2006256 2454312 3560422 4908624 5340633 7120844 10681266 12461477 14241688 21362532 24922954 28483376 37384431 42725064 49845908 74768862 85450128 87230339 99691816 149537724 174460678 199383632 261691017 299075448 348921356 523382034 598150896 697842712 1046764068 1395685424 2093528136 4187056272