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53668332 = 2234712333
BaseRepresentation
bin1100110010111…
…0100111101100
310201222122010000
43030232213230
5102214341312
65154144300
71221113304
oct314564754
9121878100
1053668332
11283268a3
1215b82090
13b171013
1471b0604
154aa1adc
hex332e9ec

53668332 has 60 divisors (see below), whose sum is σ = 142336656. Its totient is φ = 17629920.

The previous prime is 53668319. The next prime is 53668339. The reversal of 53668332 is 23386635.

It is a happy number.

It is a super-3 number, since 3×536683323 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53668339) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21838 + ... + 24170.

Almost surely, 253668332 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 53668332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71168328).

53668332 is an abundant number, since it is smaller than the sum of its proper divisors (88668324).

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

53668332 is a wasteful number, since it uses less digits than its factorization.

53668332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2409 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 53668332 is about 7325.8673206659. The cubic root of 53668332 is about 377.2008817157.

The spelling of 53668332 in words is "fifty-three million, six hundred sixty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1917 2333 2556 3834 4666 5751 6999 7668 9332 11502 13998 20997 23004 27996 41994 62991 83988 125982 165643 188973 251964 331286 377946 496929 662572 755892 993858 1490787 1987716 2981574 4472361 5963148 8944722 13417083 17889444 26834166 53668332