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63027440 = 2457293881
BaseRepresentation
bin1111000001101…
…1100011110000
311101121010101122
43300123203300
5112113334230
610130521412
71363503320
oct360334360
9141533348
1063027440
11326394a3
1219136268
1310099c58
148529280
1557eebe5
hex3c1b8f0

63027440 has 80 divisors (see below), whose sum is σ = 173292480. Its totient is φ = 20858880.

The previous prime is 63027439. The next prime is 63027443. The reversal of 63027440 is 4472036.

It is a happy number.

63027440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63027443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14300 + ... + 18180.

It is an arithmetic number, because the mean of its divisors is an integer number (2166156).

Almost surely, 263027440 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 63027440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86646240).

63027440 is an abundant number, since it is smaller than the sum of its proper divisors (110265040).

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

63027440 is a wasteful number, since it uses less digits than its factorization.

63027440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 63027440 is about 7938.9823025373. The cubic root of 63027440 is about 397.9634824201.

Adding to 63027440 its reverse (4472036), we get a palindrome (67499476).

The spelling of 63027440 in words is "sixty-three million, twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 3881 4060 7762 8120 15524 16240 19405 27167 31048 38810 54334 62096 77620 108668 112549 135835 155240 217336 225098 271670 310480 434672 450196 543340 562745 787843 900392 1086680 1125490 1575686 1800784 2173360 2250980 3151372 3939215 4501960 6302744 7878430 9003920 12605488 15756860 31513720 63027440