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104042224 = 241113371229
BaseRepresentation
bin1100011001110…
…00111011110000
321020202220002201
412030320323300
5203113322344
614153552544
72402226046
oct614707360
9236686081
10104042224
1153802510
122aa15754
131872a660
14db64396
1592024d4
hex6338ef0

104042224 has 80 divisors (see below), whose sum is σ = 243421920. Its totient is φ = 42439680.

The previous prime is 104042207. The next prime is 104042287. The reversal of 104042224 is 422240401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84042 + ... + 85270.

It is an arithmetic number, because the mean of its divisors is an integer number (3042774).

Almost surely, 2104042224 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 104042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121710960).

104042224 is an abundant number, since it is smaller than the sum of its proper divisors (139379696).

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

104042224 is a wasteful number, since it uses less digits than its factorization.

104042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 104042224 is about 10200.1090190252. The cubic root of 104042224 is about 470.3305717253.

Adding to 104042224 its reverse (422240401), we get a palindrome (526282625).

It can be divided in two parts, 1040 and 42224, that added together give a square (43264 = 2082).

The spelling of 104042224 in words is "one hundred four million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 814 962 1144 1229 1628 1924 2288 2458 3256 3848 4916 5291 6512 7696 9832 10582 13519 15977 19664 21164 27038 31954 42328 45473 54076 63908 84656 90946 108152 127816 175747 181892 216304 255632 351494 363784 500203 591149 702988 727568 1000406 1182298 1405976 2000812 2364596 2811952 4001624 4729192 6502639 8003248 9458384 13005278 26010556 52021112 104042224