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427508952 = 2331329371277
BaseRepresentation
bin11001011110110…
…100010011011000
31002210102201000220
4121132310103120
51333420241302
6110231000040
713410523533
oct3136642330
91083381026
10427508952
111aa354892
12bb209020
136a7537a0
1440ac5a1a
15277e94bc
hex197b44d8

427508952 has 128 divisors (see below), whose sum is σ = 1223812800. Its totient is φ = 123475968.

The previous prime is 427508933. The next prime is 427508957. The reversal of 427508952 is 259805724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427508957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334138 + ... + 335414.

Almost surely, 2427508952 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 427508952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611906400).

427508952 is an abundant number, since it is smaller than the sum of its proper divisors (796303848).

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

427508952 is a wasteful number, since it uses less digits than its factorization.

427508952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 427508952 is about 20676.2896091151. The cubic root of 427508952 is about 753.3238855073.

The spelling of 427508952 in words is "four hundred twenty-seven million, five hundred eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 37 39 52 58 74 78 87 104 111 116 148 156 174 222 232 296 312 348 377 444 481 696 754 888 962 1073 1131 1277 1443 1508 1924 2146 2262 2554 2886 3016 3219 3831 3848 4292 4524 5108 5772 6438 7662 8584 9048 10216 11544 12876 13949 15324 16601 25752 27898 30648 33202 37033 41847 47249 49803 55796 66404 74066 83694 94498 99606 111099 111592 132808 141747 148132 167388 188996 199212 222198 283494 296264 334776 377992 398424 444396 481429 566988 614237 888792 962858 1133976 1228474 1370221 1444287 1842711 1925716 2456948 2740442 2888574 3685422 3851432 4110663 4913896 5480884 5777148 7370844 8221326 10961768 11554296 14741688 16442652 17812873 32885304 35625746 53438619 71251492 106877238 142502984 213754476 427508952