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2553241440 = 253518712843
BaseRepresentation
bin1001100000101111…
…0101111101100000
320120221101002210210
42120023311331200
520212112211230
61101204454120
7120162123411
oct23013657540
96527332723
102553241440
1110a02690a2
125b30aa340
13318c81069
141a314d808
15ee245eb0
hex982f5f60

2553241440 has 96 divisors (see below), whose sum is σ = 8049839616. Its totient is φ = 680261120.

The previous prime is 2553241423. The next prime is 2553241459. The reversal of 2553241440 is 441423552.

2553241440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2553241398 and 2553241407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896659 + ... + 899501.

It is an arithmetic number, because the mean of its divisors is an integer number (83852496).

Almost surely, 22553241440 is an apocalyptic number.

2553241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553241440 is an abundant number, since it is smaller than the sum of its proper divisors (5496598176).

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

2553241440 is a wasteful number, since it uses less digits than its factorization.

2553241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2553241440 is about 50529.6095373792. The cubic root of 2553241440 is about 1366.7758448043.

Adding to 2553241440 its reverse (441423552), we get a palindrome (2994664992).

The spelling of 2553241440 in words is "two billion, five hundred fifty-three million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1871 2843 3742 5613 5686 7484 8529 9355 11226 11372 14215 14968 17058 18710 22452 22744 28065 28430 29936 34116 37420 42645 44904 45488 56130 56860 59872 68232 74840 85290 89808 90976 112260 113720 136464 149680 170580 179616 224520 227440 272928 299360 341160 449040 454880 682320 898080 1364640 5319253 10638506 15957759 21277012 26596265 31915518 42554024 53192530 63831036 79788795 85108048 106385060 127662072 159577590 170216096 212770120 255324144 319155180 425540240 510648288 638310360 851080480 1276620720 2553241440