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4094272 = 267131937
BaseRepresentation
bin1111100111100101000000
321201000021201
433213211000
52022004042
6223430544
746541440
oct17474500
97630251
104094272
1123470a6
121455454
13b04760
14788120
1555d1b7
hex3e7940

4094272 has 112 divisors (see below), whose sum is σ = 10810240. Its totient is φ = 1492992.

The previous prime is 4094269. The next prime is 4094281. The reversal of 4094272 is 2724904.

4094272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4094272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110638 + ... + 110674.

It is an arithmetic number, because the mean of its divisors is an integer number (96520).

Almost surely, 24094272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4094272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405120).

4094272 is an abundant number, since it is smaller than the sum of its proper divisors (6715968).

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

4094272 is a wasteful number, since it uses less digits than its factorization.

4094272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4094272 is about 2023.4307499887. The cubic root of 4094272 is about 159.9774968352.

It can be divided in two parts, 40942 and 72, that added together give a palindrome (41014).

The spelling of 4094272 in words is "four million, ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 37 38 52 56 64 74 76 91 104 112 133 148 152 182 208 224 247 259 266 296 304 364 416 448 481 494 518 532 592 608 703 728 832 962 988 1036 1064 1184 1216 1406 1456 1729 1924 1976 2072 2128 2368 2812 2912 3367 3458 3848 3952 4144 4256 4921 5624 5824 6734 6916 7696 7904 8288 8512 9139 9842 11248 13468 13832 15392 15808 16576 18278 19684 22496 26936 27664 30784 36556 39368 44992 53872 55328 63973 73112 78736 107744 110656 127946 146224 157472 215488 255892 292448 314944 511784 584896 1023568 2047136 4094272