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4223763072 = 27323666461
BaseRepresentation
bin1111101111000001…
…1000001010000000
3101220100202101200100
43323300120022000
532122240404242
61535041522400
7206445252024
oct37360301200
911810671610
104223763072
111878227791
1299a643400
135240a8bb9
142c0d60384
1519ac2554c
hexfbc18280

4223763072 has 48 divisors (see below), whose sum is σ = 12154321530. Its totient is φ = 1407920640.

The previous prime is 4223763031. The next prime is 4223763073. The reversal of 4223763072 is 2703673224.

It can be written as a sum of positive squares in only one way, i.e., 4140150336 + 83612736 = 64344^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (4223763073) 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 5 ways as a sum of consecutive naturals, for example, 1832079 + ... + 1834382.

Almost surely, 24223763072 is an apocalyptic number.

It is an amenable number.

4223763072 is an abundant number, since it is smaller than the sum of its proper divisors (7930558458).

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

4223763072 is a wasteful number, since it uses less digits than its factorization.

4223763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666481 (or 3666466 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 4223763072 is about 64990.4844727288. The cubic root of 4223763072 is about 1616.4657841069.

The spelling of 4223763072 in words is "four billion, two hundred twenty-three million, seven hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3666461 7332922 10999383 14665844 21998766 29331688 32998149 43997532 58663376 65996298 87995064 117326752 131992596 175990128 234653504 263985192 351980256 469307008 527970384 703960512 1055940768 1407921024 2111881536 4223763072