Search a number
-
+
868990572 = 2233414432
BaseRepresentation
bin110011110010111…
…011111001101100
32020120011021222000
4303302323321230
53234430144242
6222121252300
730351204132
oct6362737154
92216137860
10868990572
1140658252a
12203034090
1310b05a108
14835a7752
1551453a4c
hex33cbbe6c

868990572 has 72 divisors (see below), whose sum is σ = 2313109680. Its totient is φ = 281960640.

The previous prime is 868990541. The next prime is 868990607. The reversal of 868990572 is 275099868.

It is a happy number.

868990572 is a `hidden beast` number, since 8 + 68 + 9 + 9 + 0 + 572 = 666.

It is a super-2 number, since 2×8689905722 = 1510289228449774368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 1961383 + ... + 1961825.

Almost surely, 2868990572 is an apocalyptic number.

868990572 is a gapful number since it is divisible by the number (82) 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 868990572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156554840).

868990572 is an abundant number, since it is smaller than the sum of its proper divisors (1444119108).

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

868990572 is a wasteful number, since it uses less digits than its factorization.

868990572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 868990572 is about 29478.6460340362. The cubic root of 868990572 is about 954.2709170848.

The spelling of 868990572 in words is "eight hundred sixty-eight million, nine hundred ninety thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 443 492 738 886 1107 1329 1476 1772 2214 2658 3987 4428 5316 7974 11961 15948 18163 23922 36326 47844 54489 72652 108978 163467 196249 217956 326934 392498 490401 588747 653868 784996 980802 1177494 1766241 1961604 2354988 3532482 5298723 7064964 8046209 10597446 16092418 21194892 24138627 32184836 48277254 72415881 96554508 144831762 217247643 289663524 434495286 868990572