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62068864 = 2711133391
BaseRepresentation
bin1110110011000…
…1100010000000
311022210102110211
43230301202000
5111342200424
610054203504
71352401534
oct354614200
9138712424
1062068864
1132044290
1218953594
13cb22850
148359bc4
1556b0b94
hex3b31880

62068864 has 64 divisors (see below), whose sum is σ = 145313280. Its totient is φ = 26035200.

The previous prime is 62068861. The next prime is 62068873. The reversal of 62068864 is 46886026.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (62068861) 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, 16609 + ... + 19999.

It is an arithmetic number, because the mean of its divisors is an integer number (2270520).

Almost surely, 262068864 is an apocalyptic number.

62068864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72656640).

62068864 is an abundant number, since it is smaller than the sum of its proper divisors (83244416).

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

62068864 is a wasteful number, since it uses less digits than its factorization.

62068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 62068864 is about 7878.3795288117. The cubic root of 62068864 is about 395.9356423658.

The spelling of 62068864 in words is "sixty-two million, sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 3391 4576 6782 9152 13564 18304 27128 37301 44083 54256 74602 88166 108512 149204 176332 217024 298408 352664 434048 484913 596816 705328 969826 1193632 1410656 1939652 2387264 2821312 3879304 4774528 5642624 7758608 15517216 31034432 62068864