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5724005840 = 245785711927
BaseRepresentation
bin1010101010010110…
…10110010111010000
3112202220201121212022
411111023112113100
543210321141330
62343553151012
7261563150450
oct52513262720
915686647768
105724005840
112478063343
121138b5b468
13702b54807
143c42c7d60
152377bbae5
hex1552d65d0

5724005840 has 80 divisors (see below), whose sum is σ = 15228525312. Its totient is φ = 1960061952.

The previous prime is 5724005803. The next prime is 5724005843. The reversal of 5724005840 is 485004275.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5724005840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5724005843) 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, 473957 + ... + 485883.

Almost surely, 25724005840 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 5724005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614262656).

5724005840 is an abundant number, since it is smaller than the sum of its proper divisors (9504519472).

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

5724005840 is a wasteful number, since it uses less digits than its factorization.

5724005840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12804 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 5724005840 is about 75657.1598726783. The cubic root of 5724005840 is about 1788.8201956799.

The spelling of 5724005840 in words is "five billion, seven hundred twenty-four million, five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 857 1714 3428 4285 5999 6856 8570 11927 11998 13712 17140 23854 23996 29995 34280 47708 47992 59635 59990 68560 83489 95416 95984 119270 119980 166978 190832 238540 239960 333956 417445 477080 479920 667912 834890 954160 1335824 1669780 3339560 6679120 10221439 20442878 40885756 51107195 71550073 81771512 102214390 143100146 163543024 204428780 286200292 357750365 408857560 572400584 715500730 817715120 1144801168 1431001460 2862002920 5724005840