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2553453440 = 27512593169
BaseRepresentation
bin1001100000110010…
…1001101110000000
320120221202212121122
42120030221232000
520212141002230
61101213211412
7120163665446
oct23014515600
96527685548
102553453440
1110a03a33aa
125b3190b68
133190266c5
141a31a6b96
15ee288be5
hex98329b80

2553453440 has 64 divisors (see below), whose sum is σ = 6111126000. Its totient is φ = 1020248064.

The previous prime is 2553453433. The next prime is 2553453503. The reversal of 2553453440 is 443543552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2553453440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804176 + ... + 807344.

Almost surely, 22553453440 is an apocalyptic number.

2553453440 is a gapful number since it is divisible by the number (20) 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 2553453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055563000).

2553453440 is an abundant number, since it is smaller than the sum of its proper divisors (3557672560).

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

2553453440 is a wasteful number, since it uses less digits than its factorization.

2553453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

The square root of 2553453440 is about 50531.7072737504. The cubic root of 2553453440 is about 1366.8136723353.

Adding to 2553453440 its reverse (443543552), we get a palindrome (2996996992).

The spelling of 2553453440 in words is "two billion, five hundred fifty-three million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1259 2518 3169 5036 6295 6338 10072 12590 12676 15845 20144 25180 25352 31690 40288 50360 50704 63380 80576 100720 101408 126760 161152 201440 202816 253520 402880 405632 507040 805760 1014080 2028160 3989771 7979542 15959084 19948855 31918168 39897710 63836336 79795420 127672672 159590840 255345344 319181680 510690688 638363360 1276726720 2553453440