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422142504 = 233717791871
BaseRepresentation
bin11001001010010…
…110001000101000
31002102100001122120
4121022112020220
51331032030004
6105515551240
713314103110
oct3112261050
91072301576
10422142504
111a7319a03
12b945b520
13695c4c84
14400ca040
15270d93d9
hex19296228

422142504 has 128 divisors (see below), whose sum is σ = 1293926400. Its totient is φ = 112020480.

The previous prime is 422142401. The next prime is 422142517. The reversal of 422142504 is 405241224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224689 + ... + 226559.

It is an arithmetic number, because the mean of its divisors is an integer number (10108800).

Almost surely, 2422142504 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 422142504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646963200).

422142504 is an abundant number, since it is smaller than the sum of its proper divisors (871783896).

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

422142504 is a wasteful number, since it uses less digits than its factorization.

422142504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 422142504 is about 20546.1067844981. The cubic root of 422142504 is about 750.1584873955.

Adding to 422142504 its reverse (405241224), we get a palindrome (827383728).

The spelling of 422142504 in words is "four hundred twenty-two million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 79 84 102 119 136 158 168 204 237 238 316 357 408 474 476 553 632 714 948 952 1106 1343 1428 1659 1871 1896 2212 2686 2856 3318 3742 4029 4424 5372 5613 6636 7484 8058 9401 10744 11226 13097 13272 14968 16116 18802 22452 26194 28203 31807 32232 37604 39291 44904 52388 56406 63614 75208 78582 95421 104776 112812 127228 147809 157164 190842 222649 225624 254456 295618 314328 381684 443427 445298 591236 667947 763368 886854 890596 1034663 1182472 1335894 1773708 1781192 2069326 2512753 2671788 3103989 3547416 4138652 5025506 5343576 6207978 7538259 8277304 10051012 12415956 15076518 17589271 20102024 24831912 30153036 35178542 52767813 60306072 70357084 105535626 140714168 211071252 422142504