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8361444 = 22371321931
BaseRepresentation
bin11111111001010111100100
3120201210202010
4133321113210
54120031234
6455114220
7131033250
oct37712744
916653663
108361444
1147a1093
122972970
131969b00
141179260
15b026e9
hex7f95e4

8361444 has 144 divisors (see below), whose sum is σ = 26234880. Its totient is φ = 2021760.

The previous prime is 8361403. The next prime is 8361449. The reversal of 8361444 is 4441638.

8361444 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8361449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269709 + ... + 269739.

Almost surely, 28361444 is an apocalyptic number.

8361444 is a gapful number since it is divisible by the number (84) 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 8361444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117440).

8361444 is an abundant number, since it is smaller than the sum of its proper divisors (17873436).

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

8361444 is a wasteful number, since it uses less digits than its factorization.

8361444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 8361444 is about 2891.6161570997. The cubic root of 8361444 is about 202.9677770042.

The spelling of 8361444 in words is "eight million, three hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 31 38 39 42 52 57 62 76 78 84 91 93 114 124 133 156 169 182 186 217 228 247 266 273 338 364 372 399 403 434 494 507 532 546 589 651 676 741 798 806 868 988 1014 1092 1178 1183 1209 1302 1482 1596 1612 1729 1767 2028 2356 2366 2418 2604 2821 2964 3211 3458 3534 3549 4123 4732 4836 5187 5239 5642 6422 6916 7068 7098 7657 8246 8463 9633 10374 10478 11284 12369 12844 14196 15314 15717 16492 16926 19266 20748 20956 22477 22971 24738 30628 31434 33852 36673 38532 44954 45942 49476 53599 62868 67431 73346 89908 91884 99541 107198 110019 134862 146692 160797 199082 214396 220038 269724 298623 321594 398164 440076 597246 643188 696787 1194492 1393574 2090361 2787148 4180722 8361444