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2544425424 = 243283359593
BaseRepresentation
bin1001011110101000…
…1101100111010000
320120022210012111200
42113222031213100
520202333103144
61100251511200
7120024154632
oct22752154720
96508705450
102544425424
111096297532
125b0158500
133171b5398
141a1cd6a52
15ed5a3c69
hex97a8d9d0

2544425424 has 120 divisors (see below), whose sum is σ = 7238911680. Its totient is φ = 834180096.

The previous prime is 2544425399. The next prime is 2544425447. The reversal of 2544425424 is 4245244452.

2544425424 is a `hidden beast` number, since 2 + 544 + 42 + 54 + 24 = 666.

2544425424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4290472 + ... + 4291064.

It is an arithmetic number, because the mean of its divisors is an integer number (60324264).

Almost surely, 22544425424 is an apocalyptic number.

2544425424 is a gapful number since it is divisible by the number (24) 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 2544425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619455840).

2544425424 is an abundant number, since it is smaller than the sum of its proper divisors (4694486256).

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

2544425424 is a wasteful number, since it uses less digits than its factorization.

2544425424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1040 counting only the distinct ones).

The product of its digits is 204800, while the sum is 36.

The square root of 2544425424 is about 50442.2979651007. The cubic root of 2544425424 is about 1365.2009300478.

Adding to 2544425424 its reverse (4245244452), we get a palindrome (6789669876).

The spelling of 2544425424 in words is "two billion, five hundred forty-four million, four hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 359 498 593 664 718 747 996 1077 1186 1328 1436 1494 1779 1992 2154 2372 2872 2988 3231 3558 3984 4308 4744 5337 5744 5976 6462 7116 8616 9488 10674 11952 12924 14232 17232 21348 25848 28464 29797 42696 49219 51696 59594 85392 89391 98438 119188 147657 178782 196876 212887 238376 268173 295314 357564 393752 425774 442971 476752 536346 590628 638661 715128 787504 851548 885942 1072692 1181256 1277322 1430256 1703096 1771884 1915983 2145384 2362512 2554644 3406192 3543768 3831966 4290768 5109288 7087536 7663932 10218576 15327864 17669621 30655728 35339242 53008863 70678484 106017726 141356968 159026589 212035452 282713936 318053178 424070904 636106356 848141808 1272212712 2544425424