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4246444664 = 237211289527
BaseRepresentation
bin1111110100011011…
…1001101001111000
3101221221102201222022
43331012321221320
532144042212124
61541212014012
7210142120100
oct37506715170
911857381868
104246444664
11188a009800
129a6161308
135289baa67
142c3d86200
1519cc05c5e
hexfd1b9a78

4246444664 has 72 divisors (see below), whose sum is σ = 10180676520. Its totient is φ = 1654440480.

The previous prime is 4246444651. The next prime is 4246444673. The reversal of 4246444664 is 4664446424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2669 + ... + 92195.

It is an arithmetic number, because the mean of its divisors is an integer number (141398285).

Almost surely, 24246444664 is an apocalyptic number.

4246444664 is a gapful number since it is divisible by the number (44) 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 4246444664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090338260).

4246444664 is an abundant number, since it is smaller than the sum of its proper divisors (5934231856).

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

4246444664 is a wasteful number, since it uses less digits than its factorization.

4246444664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89569 (or 89547 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 44.

The square root of 4246444664 is about 65164.7501644869. The cubic root of 4246444664 is about 1619.3540919437.

The spelling of 4246444664 in words is "four billion, two hundred forty-six million, four hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 3388 4312 5929 6776 11858 23716 47432 89527 179054 358108 626689 716216 984797 1253378 1969594 2506756 3939188 4386823 5013512 6893579 7878376 8773646 10832767 13787158 17547292 21665534 27574316 35094584 43331068 48255053 55148632 75829369 86662136 96510106 151658738 193020212 303317476 386040424 530805583 606634952 1061611166 2123222332 4246444664