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2553052440 = 233523925019
BaseRepresentation
bin1001100000101100…
…0111110100011000
320120221000111112210
42120023013310120
520212040134230
61101200435120
7120160405401
oct23013076430
96527014483
102553052440
1110a014a0a4
125b3018aa0
13318c16023
141a31009a8
15ee209eb0
hex982c7d18

2553052440 has 64 divisors (see below), whose sum is σ = 7992172800. Its totient is φ = 651212672.

The previous prime is 2553052387. The next prime is 2553052441. The reversal of 2553052440 is 442503552.

It is a super-2 number, since 2×25530524402 = 13036153522779907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2553052398 and 2553052407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553052441) 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, 459750 + ... + 465269.

It is an arithmetic number, because the mean of its divisors is an integer number (124877700).

Almost surely, 22553052440 is an apocalyptic number.

2553052440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553052440 is an abundant number, since it is smaller than the sum of its proper divisors (5439120360).

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

2553052440 is a wasteful number, since it uses less digits than its factorization.

2553052440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925056 (or 925052 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2553052440 is about 50527.7393121838. The cubic root of 2553052440 is about 1366.7421194379.

Adding to 2553052440 its reverse (442503552), we get a palindrome (2995555992).

The spelling of 2553052440 in words is "two billion, five hundred fifty-three million, fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 925019 1850038 2775057 3700076 4625095 5550114 7400152 9250190 11100228 13875285 18500380 21275437 22200456 27750570 37000760 42550874 55501140 63826311 85101748 106377185 111002280 127652622 170203496 212754370 255305244 319131555 425508740 510610488 638263110 851017480 1276526220 2553052440