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666638424 = 2336151757
BaseRepresentation
bin100111101111000…
…001100001011000
31201110101202000000
4213233001201120
52331124412144
6150052213000
722343222154
oct4757014130
91643352000
10666638424
11312333351
1216730a160
13a815b30a
1464772064
153d7d2769
hex27bc1858

666638424 has 112 divisors (see below), whose sum is σ = 1888966320. Its totient is φ = 220449600.

The previous prime is 666638381. The next prime is 666638429. The reversal of 666638424 is 424836666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 666638424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666638429) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 880254 + ... + 881010.

Almost surely, 2666638424 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 666638424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944483160).

666638424 is an abundant number, since it is smaller than the sum of its proper divisors (1222327896).

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

666638424 is a wasteful number, since it uses less digits than its factorization.

666638424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 913 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 666638424 is about 25819.3420520353. The cubic root of 666638424 is about 873.5681284412.

The spelling of 666638424 in words is "six hundred sixty-six million, six hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 151 162 216 243 302 324 453 486 604 648 729 757 906 972 1208 1359 1458 1514 1812 1944 2271 2718 2916 3028 3624 4077 4542 5436 5832 6056 6813 8154 9084 10872 12231 13626 16308 18168 20439 24462 27252 32616 36693 40878 48924 54504 61317 73386 81756 97848 110079 114307 122634 146772 163512 183951 220158 228614 245268 293544 342921 367902 440316 457228 490536 551853 685842 735804 880632 914456 1028763 1103706 1371684 1471608 2057526 2207412 2743368 3086289 4115052 4414824 6172578 8230104 9258867 12345156 18517734 24690312 27776601 37035468 55553202 74070936 83329803 111106404 166659606 222212808 333319212 666638424