Search a number
-
+
890921568 = 25313170843
BaseRepresentation
bin110101000110100…
…110001001100000
32022002102111122010
4311012212021200
53311033442233
6224223312520
731035464655
oct6506461140
92262374563
10890921568
114179a1619
1220a44b740
13112768434
1486475c2c
1553336b63
hex351a6260

890921568 has 48 divisors (see below), whose sum is σ = 2356554816. Its totient is φ = 294702720.

The previous prime is 890921539. The next prime is 890921569. The reversal of 890921568 is 865129098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890921569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22846 + ... + 47997.

It is an arithmetic number, because the mean of its divisors is an integer number (49094892).

Almost surely, 2890921568 is an apocalyptic number.

It is an amenable number.

890921568 is an abundant number, since it is smaller than the sum of its proper divisors (1465633248).

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

890921568 is a wasteful number, since it uses less digits than its factorization.

890921568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70987 (or 70979 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 890921568 is about 29848.3092988531. The cubic root of 890921568 is about 962.2320632283.

The spelling of 890921568 in words is "eight hundred ninety million, nine hundred twenty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 70843 141686 212529 283372 425058 566744 850116 1133488 1700232 2266976 3400464 6800928 9280433 18560866 27841299 37121732 55682598 74243464 111365196 148486928 222730392 296973856 445460784 890921568