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63668332 = 227131710289
BaseRepresentation
bin1111001011100…
…0000001101100
311102210200112101
43302320001230
5112244341312
610152344444
71402112650
oct362700154
9142720471
1063668332
1132a36a62
12193a5124
1310262890
148654a60
1558c9a57
hex3cb806c

63668332 has 48 divisors (see below), whose sum is σ = 145212480. Its totient is φ = 23703552.

The previous prime is 63668329. The next prime is 63668351. The reversal of 63668332 is 23386636.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 63668291 and 63668300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044 + ... + 11332.

It is an arithmetic number, because the mean of its divisors is an integer number (3025260).

Almost surely, 263668332 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 63668332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72606240).

63668332 is an abundant number, since it is smaller than the sum of its proper divisors (81544148).

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

63668332 is a wasteful number, since it uses less digits than its factorization.

63668332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10330 (or 10328 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The square root of 63668332 is about 7979.2438238219. The cubic root of 63668332 is about 399.3078279355.

It can be divided in two parts, 63668 and 332, that added together give a cube (64000 = 403).

The spelling of 63668332 in words is "sixty-three million, six hundred sixty-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 3094 6188 10289 20578 41156 72023 133757 144046 174913 267514 288092 349826 535028 699652 936299 1224391 1872598 2273869 2448782 3745196 4547738 4897564 9095476 15917083 31834166 63668332