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2554444552 = 23114113193
BaseRepresentation
bin1001100001000001…
…1011101100001000
320121000122020011111
42120100123230020
520212414211202
61101250340104
7120205264132
oct23020335410
96530566144
102554444552
1110a0a10000
125b358a634
133192b286a
141a3384052
15ee3d26d7
hex9841bb08

2554444552 has 80 divisors (see below), whose sum is σ = 5342672700. Its totient is φ = 1144872960.

The previous prime is 2554444549. The next prime is 2554444553.

2554444552 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2047924516 + 506520036 = 45254^2 + 22506^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554444553) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13235368 + ... + 13235560.

Almost surely, 22554444552 is an apocalyptic number.

2554444552 is a gapful number since it is divisible by the number (22) 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 2554444552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671336350).

2554444552 is an abundant number, since it is smaller than the sum of its proper divisors (2788228148).

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

2554444552 is a wasteful number, since it uses less digits than its factorization.

2554444552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 319 counting only the distinct ones).

The product of its digits is 640000, while the sum is 40.

The square root of 2554444552 is about 50541.5131550293. The cubic root of 2554444552 is about 1366.9904904150.

The spelling of 2554444552 in words is "two billion, five hundred fifty-four million, four hundred forty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 113 121 193 226 242 386 452 484 772 904 968 1243 1331 1544 2123 2486 2662 4246 4972 5324 8492 9944 10648 13673 14641 16984 21809 23353 27346 29282 43618 46706 54692 58564 87236 93412 109384 117128 150403 174472 186824 239899 256883 300806 479798 513766 601612 959596 1027532 1203224 1654433 1919192 2055064 2638889 2825713 3308866 5277778 5651426 6617732 10555556 11302852 13235464 21111112 22605704 29027779 58055558 116111116 232222232 319305569 638611138 1277222276 2554444552