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2553034440 = 2335111934117
BaseRepresentation
bin1001100000101100…
…0011011011001000
320120220222120212010
42120023003123020
520212034100230
61101200215520
7120160302045
oct23013033310
96526876763
102553034440
1110a0137620
125b300a5a0
13318c0aa88
141a30d81cc
15ee2049b0
hex982c36c8

2553034440 has 64 divisors (see below), whose sum is σ = 8355389760. Its totient is φ = 618917120.

The previous prime is 2553034423. The next prime is 2553034457. The reversal of 2553034440 is 444303552.

It is an interprime number because it is at equal distance from previous prime (2553034423) and next prime (2553034457).

It is a super-2 number, since 2×25530344402 = 13035969703652227200, 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 = 2553034398 and 2553034407.

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 15 ways as a sum of consecutive naturals, for example, 965739 + ... + 968378.

It is an arithmetic number, because the mean of its divisors is an integer number (130552965).

Almost surely, 22553034440 is an apocalyptic number.

2553034440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553034440 is an abundant number, since it is smaller than the sum of its proper divisors (5802355320).

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

2553034440 is a wasteful number, since it uses less digits than its factorization.

2553034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934142 (or 1934138 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2553034440 is about 50527.5611918881. The cubic root of 2553034440 is about 1366.7389074114.

Adding to 2553034440 its reverse (444303552), we get a palindrome (2997337992).

The spelling of 2553034440 in words is "two billion, five hundred fifty-three million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1934117 3868234 5802351 7736468 9670585 11604702 15472936 19341170 21275287 23209404 29011755 38682340 42550574 46418808 58023510 63825861 77364680 85101148 106376435 116047020 127651722 170202296 212752870 232094040 255303444 319129305 425505740 510606888 638258610 851011480 1276517220 2553034440