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2525029344 = 253210385121
BaseRepresentation
bin1001011010000000…
…1110001111100000
320111222021210002100
42112200032033200
520132401414334
61054320050400
7116400252405
oct22640161740
96458253070
102525029344
111086349a12
125a5763a00
13313183b06
1419d4c82ac
15eba21c99
hex9680e3e0

2525029344 has 72 divisors (see below), whose sum is σ = 7250351472. Its totient is φ = 833495040.

The previous prime is 2525029343. The next prime is 2525029361. The reversal of 2525029344 is 4439205252.

2525029344 is a `hidden beast` number, since 2 + 525 + 0 + 2 + 93 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×25250293442 = 12751546376122140672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2525029299 and 2525029308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525029343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12897 + ... + 72224.

It is an arithmetic number, because the mean of its divisors is an integer number (100699326).

Almost surely, 22525029344 is an apocalyptic number.

2525029344 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 2525029344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625175736).

2525029344 is an abundant number, since it is smaller than the sum of its proper divisors (4725322128).

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

2525029344 is a wasteful number, since it uses less digits than its factorization.

2525029344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85240 (or 85229 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2525029344 is about 50249.6700884692. The cubic root of 2525029344 is about 1361.7231157803.

The spelling of 2525029344 in words is "two billion, five hundred twenty-five million, twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 85121 170242 255363 340484 510726 680968 766089 1021452 1361936 1532178 2042904 2723872 3064356 4085808 6128712 8171616 8767463 12257424 17534926 24514848 26302389 35069852 52604778 70139704 78907167 105209556 140279408 157814334 210419112 280558816 315628668 420838224 631257336 841676448 1262514672 2525029344