Search a number
-
+
574739040 = 25352834231
BaseRepresentation
bin100010010000011…
…101001001100000
31111001110202202010
4202100131021200
52134113122130
6133010352520
720146126011
oct4220351140
91431422663
10574739040
11275474a47
1214058b740
13920c2995
145648d008
15356cd0b0
hex2241d260

574739040 has 96 divisors (see below), whose sum is σ = 1817254656. Its totient is φ = 152686080.

The previous prime is 574739027. The next prime is 574739057. The reversal of 574739040 is 40937475.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 574739040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133725 + ... + 137955.

It is an arithmetic number, because the mean of its divisors is an integer number (18929736).

Almost surely, 2574739040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 574739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908627328).

574739040 is an abundant number, since it is smaller than the sum of its proper divisors (1242515616).

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

574739040 is a wasteful number, since it uses less digits than its factorization.

574739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 574739040 is about 23973.7156068891. The cubic root of 574739040 is about 831.4259322719.

The spelling of 574739040 in words is "five hundred seventy-four million, seven hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 283 480 566 849 1132 1415 1698 2264 2830 3396 4231 4245 4528 5660 6792 8462 8490 9056 11320 12693 13584 16924 16980 21155 22640 25386 27168 33848 33960 42310 45280 50772 63465 67696 67920 84620 101544 126930 135392 135840 169240 203088 253860 338480 406176 507720 676960 1015440 1197373 2030880 2394746 3592119 4789492 5986865 7184238 9578984 11973730 14368476 17960595 19157968 23947460 28736952 35921190 38315936 47894920 57473904 71842380 95789840 114947808 143684760 191579680 287369520 574739040