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288979005252 = 22374008785819
BaseRepresentation
bin1000011010010000111…
…11011010111101000100
31000121220102222111010110
410031020133122331010
514213312111132002
6340431034553020
726610112005330
oct4151037327504
91017812874113
10288979005252
11101612129883
124800a598770
1321334763142
14ddb55687c0
1577b4d73e6c
hex43487daf44

288979005252 has 48 divisors (see below), whose sum is σ = 770638883840. Its totient is φ = 82562408352.

The previous prime is 288979005247. The next prime is 288979005253. The reversal of 288979005252 is 252500979882.

It is a junction number, because it is equal to n+sod(n) for n = 288979005192 and 288979005201.

It is not an unprimeable number, because it can be changed into a prime (288979005253) by changing a digit.

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, 3324399 + ... + 3410217.

Almost surely, 2288979005252 is an apocalyptic number.

It is an amenable number.

288979005252 is an abundant number, since it is smaller than the sum of its proper divisors (481659878588).

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

288979005252 is a wasteful number, since it uses less digits than its factorization.

288979005252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125920 (or 125918 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 288979005252 in words is "two hundred eighty-eight billion, nine hundred seventy-nine million, five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 40087 80174 85819 120261 160348 171638 240522 257457 280609 343276 481044 514914 561218 600733 841827 1029828 1122436 1201466 1683654 1802199 2402932 3367308 3604398 7208796 3440226253 6880452506 10320678759 13760905012 20641357518 24081583771 41282715036 48163167542 72244751313 96326335084 144489502626 288979005252