Search a number
-
+
4288555920 = 2435111624453
BaseRepresentation
bin1111111110011110…
…0010101110010000
3102001212200012202110
43333213202232100
532240332242140
61545314345320
7211163060325
oct37747425620
912055605673
104288555920
1119008615a0
129b828b240
1353464356c
142c97c8b4c
151a1773380
hexff9e2b90

4288555920 has 80 divisors (see below), whose sum is σ = 14503125312. Its totient is φ = 1039649280.

The previous prime is 4288555837. The next prime is 4288555933. The reversal of 4288555920 is 295558824.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4288555920.

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, 809587 + ... + 814866.

Almost surely, 24288555920 is an apocalyptic number.

4288555920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4288555920 is an abundant number, since it is smaller than the sum of its proper divisors (10214569392).

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

4288555920 is a wasteful number, since it uses less digits than its factorization.

4288555920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624480 (or 1624474 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The square root of 4288555920 is about 65487.0668147536. The cubic root of 4288555920 is about 1624.6894453478.

The spelling of 4288555920 in words is "four billion, two hundred eighty-eight million, five hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1624453 3248906 4873359 6497812 8122265 9746718 12995624 16244530 17868983 19493436 24366795 25991248 32489060 35737966 38986872 48733590 53606949 64978120 71475932 77973744 89344915 97467180 107213898 129956240 142951864 178689830 194934360 214427796 268034745 285903728 357379660 389868720 428855592 536069490 714759320 857711184 1072138980 1429518640 2144277960 4288555920