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423417852 = 22321113233353
BaseRepresentation
bin11001001111001…
…101011111111100
31002111201212002200
4121033031133330
51331343332402
6110003151500
713330664244
oct3117153774
91074655080
10423417852
111a8010110
12b9975590
1369950610
144033cb24
152728c21c
hex193cd7fc

423417852 has 144 divisors (see below), whose sum is σ = 1266396768. Its totient is φ = 117596160.

The previous prime is 423417847. The next prime is 423417857. The reversal of 423417852 is 258714324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (423417847) and next prime (423417857).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423417857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199308 + ... + 1199660.

It is an arithmetic number, because the mean of its divisors is an integer number (8794422).

Almost surely, 2423417852 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 423417852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633198384).

423417852 is an abundant number, since it is smaller than the sum of its proper divisors (842978916).

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

423417852 is a wasteful number, since it uses less digits than its factorization.

423417852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 615 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 423417852 is about 20577.1196235042. The cubic root of 423417852 is about 750.9131703752.

The spelling of 423417852 in words is "four hundred twenty-three million, four hundred seventeen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 233 234 286 353 396 429 466 468 572 699 706 858 932 1059 1287 1398 1412 1716 2097 2118 2563 2574 2796 3029 3177 3883 4194 4236 4589 5126 5148 6058 6354 7689 7766 8388 9087 9178 10252 11649 12116 12708 13767 15378 15532 18174 18356 23067 23298 27261 27534 30756 33319 34947 36348 41301 46134 46596 50479 54522 55068 66638 69894 82249 82602 92268 99957 100958 109044 133276 139788 151437 164498 165204 199914 201916 246747 299871 302874 328996 399828 454311 493494 599742 605748 740241 904739 908622 986988 1069237 1199484 1480482 1809478 1817244 2138474 2714217 2960964 3207711 3618956 4276948 5428434 6415422 8142651 9623133 10856868 11761607 12830844 16285302 19246266 23523214 32570604 35284821 38492532 47046428 70569642 105854463 141139284 211708926 423417852