Search a number
-
+
5775894072 = 23321322571847
BaseRepresentation
bin1010110000100010…
…10010011000111000
3112220112100211010200
411120101102120320
543312112102242
62353045242200
7263063201214
oct53021223070
915815324120
105775894072
1124a4383783
121152403360
13710821500
143cb153944
1523c11b04c
hex158452638

5775894072 has 144 divisors (see below), whose sum is σ = 17014037040. Its totient is φ = 1769324544.

The previous prime is 5775894043. The next prime is 5775894169. The reversal of 5775894072 is 2704985775.

It is a happy number.

5775894072 is a `hidden beast` number, since 57 + 7 + 589 + 4 + 0 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3126253 + ... + 3128099.

It is an arithmetic number, because the mean of its divisors is an integer number (118153035).

Almost surely, 25775894072 is an apocalyptic number.

5775894072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5775894072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507018520).

5775894072 is an abundant number, since it is smaller than the sum of its proper divisors (11238142968).

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

5775894072 is a wasteful number, since it uses less digits than its factorization.

5775894072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The square root of 5775894072 is about 75999.3031020680. The cubic root of 5775894072 is about 1794.2091753577.

The spelling of 5775894072 in words is "five billion, seven hundred seventy-five million, eight hundred ninety-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 257 312 338 468 507 514 676 771 936 1014 1028 1352 1521 1542 1847 2028 2056 2313 3042 3084 3341 3694 4056 4626 5541 6084 6168 6682 7388 9252 10023 11082 12168 13364 14776 16623 18504 20046 22164 24011 26728 30069 33246 40092 43433 44328 48022 60138 66492 72033 80184 86866 96044 120276 130299 132984 144066 173732 192088 216099 240552 260598 288132 312143 347464 390897 432198 474679 521196 576264 624286 781794 864396 936429 949358 1042392 1248572 1424037 1563588 1728792 1872858 1898716 2497144 2809287 2848074 3127176 3745716 3797432 4272111 5618574 5696148 6170827 7491432 8544222 11237148 11392296 12341654 17088444 18512481 22474296 24683308 34176888 37024962 49366616 55537443 74049924 80220751 111074886 148099848 160441502 222149772 240662253 320883004 444299544 481324506 641766008 721986759 962649012 1443973518 1925298024 2887947036 5775894072