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4033413020 = 2257132216161
BaseRepresentation
bin1111000001101000…
…1111111110011100
3101102002120121111102
43300122033332130
531230023204040
61504122012232
7201644305430
oct36032177634
911362517442
104033413020
11178a83599a
12946947078
134c3820030
142a39709c0
15189175515
hexf068ff9c

4033413020 has 48 divisors (see below), whose sum is σ = 10424826048. Its totient is φ = 1276508160.

The previous prime is 4033413017. The next prime is 4033413037. The reversal of 4033413020 is 203143304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4033412983 and 4033413001.

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 15 ways as a sum of consecutive naturals, for example, 1106261 + ... + 1109900.

It is an arithmetic number, because the mean of its divisors is an integer number (217183876).

Almost surely, 24033413020 is an apocalyptic number.

It is an amenable number.

4033413020 is an abundant number, since it is smaller than the sum of its proper divisors (6391413028).

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

4033413020 is a wasteful number, since it uses less digits than its factorization.

4033413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216190 (or 2216188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 4033413020 is about 63509.1569775572. The cubic root of 4033413020 is about 1591.8087902598.

Adding to 4033413020 its reverse (203143304), we get a palindrome (4236556324).

The spelling of 4033413020 in words is "four billion, thirty-three million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2216161 4432322 8864644 11080805 15513127 22161610 28810093 31026254 44323220 57620186 62052508 77565635 115240372 144050465 155131270 201670651 288100930 310262540 403341302 576201860 806682604 1008353255 2016706510 4033413020