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2025513024 = 26319753551
BaseRepresentation
bin111100010111010…
…1110000001000000
312020011100201111220
41320232232001000
513122012404044
6532553435040
7101123401533
oct17056560100
95204321456
102025513024
1194a392a07
1248640ba80
1326383ac22
1415301aa1a
15bcc52019
hex78bae040

2025513024 has 56 divisors (see below), whose sum is σ = 5386474368. Its totient is φ = 671731200.

The previous prime is 2025513019. The next prime is 2025513047. The reversal of 2025513024 is 4203155202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2025512985 and 2025513003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11049 + ... + 64599.

Almost surely, 22025513024 is an apocalyptic number.

2025513024 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 2025513024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693237184).

2025513024 is an abundant number, since it is smaller than the sum of its proper divisors (3360961344).

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

2025513024 is a wasteful number, since it uses less digits than its factorization.

2025513024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53763 (or 53753 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2025513024 is about 45005.6999056786. The cubic root of 2025513024 is about 1265.2558287338.

Adding to 2025513024 its reverse (4203155202), we get a palindrome (6228668226).

The spelling of 2025513024 in words is "two billion, twenty-five million, five hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 37824 53551 107102 160653 214204 321306 428408 642612 856816 1285224 1713632 2570448 3427264 5140896 10281792 10549547 21099094 31648641 42198188 63297282 84396376 126594564 168792752 253189128 337585504 506378256 675171008 1012756512 2025513024