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4272048 = 2433112931
BaseRepresentation
bin10000010010111110110000
322001001011000
4100102332300
52043201143
6231322000
751211644
oct20227660
98031130
104272048
112458720
121520300
13b67651
147d2c24
15595bd3
hex412fb0

4272048 has 160 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1209600.

The previous prime is 4272031. The next prime is 4272053. The reversal of 4272048 is 8402724.

4272048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

4272048 is a nontrivial binomial coefficient, being equal to C(33, 7).

It is a super-2 number, since 2×42720482 = 36500788228608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137793 + ... + 137823.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

Almost surely, 24272048 is an apocalyptic number.

4272048 is a gapful number since it is divisible by the number (48) 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 4272048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

4272048 is an abundant number, since it is smaller than the sum of its proper divisors (10012752).

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

4272048 is a wasteful number, since it uses less digits than its factorization.

4272048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4272048 is about 2066.8933209046. The cubic root of 4272048 is about 162.2602128103.

The spelling of 4272048 in words is "four million, two hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 31 33 36 44 48 54 58 62 66 72 87 88 93 99 108 116 124 132 144 174 176 186 198 216 232 248 261 264 279 297 319 341 348 372 396 432 464 496 522 528 558 594 638 682 696 744 783 792 837 899 957 1023 1044 1116 1188 1276 1364 1392 1488 1566 1584 1674 1798 1914 2046 2088 2232 2376 2552 2697 2728 2871 3069 3132 3348 3596 3828 4092 4176 4464 4752 5104 5394 5456 5742 6138 6264 6696 7192 7656 8091 8184 8613 9207 9889 10788 11484 12276 12528 13392 14384 15312 16182 16368 17226 18414 19778 21576 22968 24273 24552 29667 32364 34452 36828 39556 43152 45936 48546 49104 59334 64728 68904 73656 79112 89001 97092 118668 129456 137808 147312 158224 178002 194184 237336 267003 356004 388368 474672 534006 712008 1068012 1424016 2136024 4272048