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52284096 = 263379383
BaseRepresentation
bin1100011101110…
…0101011000000
310122101022022000
43013130223000
5101341042341
65104344000
71203256524
oct307345300
9118338260
1052284096
11275708a7
1215615000
13aaa7c47
146d2dd84
1548cb8b6
hex31dcac0

52284096 has 112 divisors (see below), whose sum is σ = 156057600. Its totient is φ = 17162496.

The previous prime is 52284091. The next prime is 52284101. The reversal of 52284096 is 69048225.

It is a happy number.

52284096 is a `hidden beast` number, since 522 + 8 + 40 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (52284091) and next prime (52284101).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52284096.

It is not an unprimeable number, because it can be changed into a prime (52284091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136321 + ... + 136703.

Almost surely, 252284096 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 52284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78028800).

52284096 is an abundant number, since it is smaller than the sum of its proper divisors (103773504).

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

52284096 is a wasteful number, since it uses less digits than its factorization.

52284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52284096 is about 7230.7742324042. The cubic root of 52284096 is about 373.9296196694.

The spelling of 52284096 in words is "fifty-two million, two hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 383 432 474 576 632 711 766 864 948 1149 1264 1422 1532 1728 1896 2133 2298 2528 2844 3064 3447 3792 4266 4596 5056 5688 6128 6894 7584 8532 9192 10341 11376 12256 13788 15168 17064 18384 20682 22752 24512 27576 30257 34128 36768 41364 45504 55152 60514 68256 73536 82728 90771 110304 121028 136512 165456 181542 220608 242056 272313 330912 363084 484112 544626 661824 726168 816939 968224 1089252 1452336 1633878 1936448 2178504 2904672 3267756 4357008 5809344 6535512 8714016 13071024 17428032 26142048 52284096