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4230553440 = 25358813653
BaseRepresentation
bin1111110000101001…
…0001111101100000
3101220211112101022110
43330022101331200
532131010202230
61535443235320
7206560053021
oct37412217540
911824471273
104230553440
111881045463
129a0978b40
13525615879
142c1c0ac48
1519b6174b0
hexfc291f60

4230553440 has 48 divisors (see below), whose sum is σ = 13326244848. Its totient is φ = 1128147456.

The previous prime is 4230553423. The next prime is 4230553447. The reversal of 4230553440 is 443550324.

4230553440 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4230553398 and 4230553407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230553447) 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, 4406347 + ... + 4407306.

It is an arithmetic number, because the mean of its divisors is an integer number (277630101).

Almost surely, 24230553440 is an apocalyptic number.

4230553440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4230553440 is an abundant number, since it is smaller than the sum of its proper divisors (9095691408).

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

4230553440 is a wasteful number, since it uses less digits than its factorization.

4230553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813671 (or 8813663 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4230553440 is about 65042.7047408086. The cubic root of 4230553440 is about 1617.3315618897.

The spelling of 4230553440 in words is "four billion, two hundred thirty million, five hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8813653 17627306 26440959 35254612 44068265 52881918 70509224 88136530 105763836 132204795 141018448 176273060 211527672 264409590 282036896 352546120 423055344 528819180 705092240 846110688 1057638360 1410184480 2115276720 4230553440