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21882042 = 2337136173
BaseRepresentation
bin101001101111…
…0010010111010
31112011201112000
41103132102322
521100211132
62101001430
7353665020
oct123362272
945151460
1021882042
1111396336
1273b3276
1346c1c70
142c98710
151dc387c
hex14de4ba

21882042 has 128 divisors (see below), whose sum is σ = 61662720. Its totient is φ = 5598720.

The previous prime is 21882031. The next prime is 21882061. The reversal of 21882042 is 24028812.

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

It is a junction number, because it is equal to n+sod(n) for n = 21881997 and 21882015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299718 + ... + 299790.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 221882042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21882042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831360).

21882042 is an abundant number, since it is smaller than the sum of its proper divisors (39780678).

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

21882042 is a wasteful number, since it uses less digits than its factorization.

21882042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21882042 is about 4677.8244943563. The cubic root of 21882042 is about 279.7022429959.

The spelling of 21882042 in words is "twenty-one million, eight hundred eighty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 61 63 73 78 91 117 122 126 146 182 183 189 219 234 273 351 366 378 427 438 511 546 549 657 702 793 819 854 949 1022 1098 1281 1314 1533 1586 1638 1647 1898 1971 2379 2457 2562 2847 3066 3294 3843 3942 4453 4599 4758 4914 5551 5694 6643 7137 7686 8541 8906 9198 11102 11529 13286 13359 13797 14274 16653 17082 19929 21411 23058 25623 26718 27594 31171 33306 39858 40077 42822 49959 51246 57889 59787 62342 80154 93513 99918 115778 119574 120231 149877 173667 179361 187026 240462 280539 299754 347334 358722 405223 521001 561078 810446 841617 1042002 1215669 1563003 1683234 2431338 3126006 3647007 7294014 10941021 21882042