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4264020864 = 27328634289
BaseRepresentation
bin1111111000100111…
…1100101110000000
3102000011111200222200
43332021330232000
532213042131424
61543040433200
7210444402465
oct37611745600
912004450880
104264020864
111898a23a94
129b0018800
1352c532b8c
142c643d66c
1519e5288c9
hexfe27cb80

4264020864 has 96 divisors (see below), whose sum is σ = 12287246400. Its totient is φ = 1419362304.

The previous prime is 4264020863. The next prime is 4264020913. The reversal of 4264020864 is 4680204624.

It is a happy number.

4264020864 is a `hidden beast` number, since 4 + 2 + 640 + 2 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4264020863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992032 + ... + 996320.

It is an arithmetic number, because the mean of its divisors is an integer number (127992150).

Almost surely, 24264020864 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 4264020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143623200).

4264020864 is an abundant number, since it is smaller than the sum of its proper divisors (8023225536).

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

4264020864 is a wasteful number, since it uses less digits than its factorization.

4264020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4264020864 is about 65299.4706257256. The cubic root of 4264020864 is about 1621.5852064500.

It can be divided in two parts, 42640 and 20864, that added together give a square (63504 = 2522).

The spelling of 4264020864 in words is "four billion, two hundred sixty-four million, twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 863 1152 1726 2589 3452 4289 5178 6904 7767 8578 10356 12867 13808 15534 17156 20712 25734 27616 31068 34312 38601 41424 51468 55232 62136 68624 77202 82848 102936 110464 124272 137248 154404 165696 205872 248544 274496 308808 331392 411744 497088 548992 617616 823488 994176 1235232 1646976 2470464 3701407 4940928 7402814 11104221 14805628 22208442 29611256 33312663 44416884 59222512 66625326 88833768 118445024 133250652 177667536 236890048 266501304 355335072 473780096 533002608 710670144 1066005216 1421340288 2132010432 4264020864