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42468822 = 232112173137
BaseRepresentation
bin1010001000000…
…0010111010110
32221220122021100
42202000113112
541333000242
64114130530
71023656544
oct242002726
987818240
1042468822
1121a77500
1212280a46
138a4c4a6
1458d6d94
153add54c
hex28805d6

42468822 has 144 divisors (see below), whose sum is σ = 113533056. Its totient is φ = 11404800.

The previous prime is 42468817. The next prime is 42468823. The reversal of 42468822 is 22886424.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42468823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1147788 + ... + 1147824.

It is an arithmetic number, because the mean of its divisors is an integer number (788424).

Almost surely, 242468822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42468822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766528).

42468822 is an abundant number, since it is smaller than the sum of its proper divisors (71064234).

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

42468822 is a wasteful number, since it uses less digits than its factorization.

42468822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42468822 is about 6516.8107230454. The cubic root of 42468822 is about 348.8912450575.

It can be divided in two parts, 42 and 468822, that added together give a palindrome (468864).

The spelling of 42468822 in words is "forty-two million, four hundred sixty-eight thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 37 51 62 66 74 93 99 102 111 121 153 186 187 198 222 242 279 306 333 341 363 374 407 527 558 561 629 666 682 726 814 1023 1054 1089 1122 1147 1221 1258 1581 1683 1887 2046 2057 2178 2294 2442 3069 3162 3366 3441 3663 3751 3774 4114 4477 4743 5661 5797 6138 6171 6882 6919 7326 7502 8954 9486 10323 11253 11322 11594 12342 12617 13431 13838 17391 18513 19499 20646 20757 22506 25234 26862 33759 34782 37026 37851 38998 40293 41514 52173 58497 62271 63767 67518 75702 76109 80586 104346 113553 116994 124542 127534 138787 152218 175491 191301 214489 227106 228327 277574 350982 382602 416361 428978 456654 573903 643467 684981 832722 1147806 1249083 1286934 1369962 1930401 2359379 2498166 3860802 4718758 7078137 14156274 21234411 42468822