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2552431350 = 235274751721
BaseRepresentation
bin1001100000100011…
…0000001011110110
320120212211221120110
42120020300023312
520211410300400
61101135243450
7120152210550
oct23010601366
96525757513
102552431350
11109a8654a7
125b2979586
13318a59411
141a2dbc4d0
15ee135e50
hex982302f6

2552431350 has 96 divisors (see below), whose sum is σ = 7388384256. Its totient is φ = 570988800.

The previous prime is 2552431333. The next prime is 2552431351. The reversal of 2552431350 is 531342552.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552431351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23490 + ... + 75210.

It is an arithmetic number, because the mean of its divisors is an integer number (76962336).

Almost surely, 22552431350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552431350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694192128).

2552431350 is an abundant number, since it is smaller than the sum of its proper divisors (4835952906).

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

2552431350 is a wasteful number, since it uses less digits than its factorization.

2552431350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51790 (or 51785 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2552431350 is about 50521.5929083793. The cubic root of 2552431350 is about 1366.6312797368.

The spelling of 2552431350 in words is "two billion, five hundred fifty-two million, four hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 47 50 70 75 94 105 141 150 175 210 235 282 329 350 470 525 658 705 987 1050 1175 1410 1645 1974 2350 3290 3525 4935 7050 8225 9870 16450 24675 49350 51721 103442 155163 258605 310326 362047 517210 724094 775815 1086141 1293025 1551630 1810235 2172282 2430887 2586050 3620470 3879075 4861774 5430705 7292661 7758150 9051175 10861410 12154435 14585322 17016209 18102350 24308870 27153525 34032418 36463305 51048627 54307050 60772175 72926610 85081045 102097254 121544350 170162090 182316525 255243135 364633050 425405225 510486270 850810450 1276215675 2552431350