Search a number
-
+
574990976 = 27731127163
BaseRepresentation
bin100010010001011…
…010101010000000
31111001221120100002
4202101122222000
52134144202401
6133020015132
720151225350
oct4221325200
91431846302
10574990976
1127562725a
121406914a8
1392180561
1456516b60
153572ca6b
hex2245aa80

574990976 has 128 divisors (see below), whose sum is σ = 1370357760. Its totient is φ = 235146240.

The previous prime is 574990973. The next prime is 574990979. The reversal of 574990976 is 679099475.

It is an interprime number because it is at equal distance from previous prime (574990973) and next prime (574990979).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5749909762 = 661229244962865152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (574990973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3527471 + ... + 3527633.

It is an arithmetic number, because the mean of its divisors is an integer number (10705920).

Almost surely, 2574990976 is an apocalyptic number.

574990976 is a gapful number since it is divisible by the number (56) 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 574990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685178880).

574990976 is an abundant number, since it is smaller than the sum of its proper divisors (795366784).

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

574990976 is a wasteful number, since it uses less digits than its factorization.

574990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 56.

The square root of 574990976 is about 23978.9694524181. The cubic root of 574990976 is about 831.5473992973.

The spelling of 574990976 in words is "five hundred seventy-four million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 127 128 163 217 224 248 254 326 434 448 496 508 652 868 889 896 992 1016 1141 1304 1736 1778 1984 2032 2282 2608 3472 3556 3937 3968 4064 4564 5053 5216 6944 7112 7874 8128 9128 10106 10432 13888 14224 15748 16256 18256 20212 20701 20864 27559 27776 28448 31496 35371 36512 40424 41402 55118 56896 62992 70742 73024 80848 82804 110236 113792 125984 141484 144907 146048 161696 165608 220472 251968 282968 289814 323392 331216 440944 503936 565936 579628 641731 646784 662432 881888 1131872 1159256 1283462 1324864 1763776 2263744 2318512 2566924 2649728 3527552 4492117 4527488 4637024 5133848 8984234 9274048 10267696 17968468 18548096 20535392 35936936 41070784 71873872 82141568 143747744 287495488 574990976