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9242844804 = 223219313491249
BaseRepresentation
bin10001001101110101…
…01001111010000100
3212212011001011110100
420212322221322010
5122412132013204
64125054124100
7445021612254
oct104672517204
925764034410
109242844804
113a13388116
12195b4b0630
13b43b88c4b
1463978b964
1539169aa39
hex226ea9e84

9242844804 has 144 divisors (see below), whose sum is σ = 25480000000. Its totient is φ = 2814289920.

The previous prime is 9242844803. The next prime is 9242844817. The reversal of 9242844804 is 4084482429.

9242844804 is a `hidden beast` number, since 92 + 4 + 2 + 84 + 480 + 4 = 666.

It is a super-4 number, since 4×92428448044 (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9242844804.

It is not an unprimeable number, because it can be changed into a prime (9242844803) 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, 7399572 + ... + 7400820.

Almost surely, 29242844804 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 9242844804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740000000).

9242844804 is an abundant number, since it is smaller than the sum of its proper divisors (16237155196).

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

9242844804 is a wasteful number, since it uses less digits than its factorization.

9242844804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 9242844804 is about 96139.7150193405. The cubic root of 9242844804 is about 2098.6268274597.

The spelling of 9242844804 in words is "nine billion, two hundred forty-two million, eight hundred forty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 349 372 558 589 684 698 1047 1116 1178 1249 1396 1767 2094 2356 2498 3141 3534 3747 4188 4996 5301 6282 6631 7068 7494 10602 10819 11241 12564 13262 14988 19893 21204 21638 22482 23731 26524 32457 38719 39786 43276 44964 47462 59679 64914 71193 77438 79572 94924 97371 116157 119358 129828 142386 154876 194742 205561 213579 232314 238716 284772 348471 389484 411122 427158 435901 464628 616683 696942 735661 822244 854316 871802 1233366 1307703 1393884 1471322 1743604 1850049 2206983 2466732 2615406 2942644 3700098 3923109 4413966 5230812 6620949 7400196 7846218 8282119 8827932 13241898 13512931 15692436 16564238 24846357 26483796 27025862 33128476 40538793 49692714 54051724 74539071 81077586 99385428 121616379 149078142 162155172 243232758 256745689 298156284 486465516 513491378 770237067 1026982756 1540474134 2310711201 3080948268 4621422402 9242844804