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63742272 = 2631130181
BaseRepresentation
bin1111001100101…
…0000101000000
311102221102221220
43303022011000
5112304223042
610154115040
71402541346
oct363120500
9142842856
1063742272
1132a87570
121941ba80
131028a429
148673996
1558e18ec
hex3cca140

63742272 has 56 divisors (see below), whose sum is σ = 183989472. Its totient is φ = 19315200.

The previous prime is 63742253. The next prime is 63742277. The reversal of 63742272 is 27224736.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63742277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12979 + ... + 17202.

Almost surely, 263742272 is an apocalyptic number.

It is an amenable number.

63742272 is an abundant number, since it is smaller than the sum of its proper divisors (120247200).

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

63742272 is a wasteful number, since it uses less digits than its factorization.

63742272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30207 (or 30197 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 63742272 is about 7983.8757505362. The cubic root of 63742272 is about 399.4623443064.

It can be divided in two parts, 6374 and 2272, that added together give a triangular number (8646 = T131).

The spelling of 63742272 in words is "sixty-three million, seven hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 30181 60362 90543 120724 181086 241448 331991 362172 482896 663982 724344 965792 995973 1327964 1448688 1931584 1991946 2655928 2897376 3983892 5311856 5794752 7967784 10623712 15935568 21247424 31871136 63742272