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5099210400 = 253522392377
BaseRepresentation
bin1001011111110111…
…11100011010100000
3111011101001201122110
410233323330122200
540420344213100
62201553435320
7240235400424
oct45773743240
914141051573
105099210400
11218740a279
12ba386bb40
13633586b7b
14365328b84
151eca02250
hex12fefc6a0

5099210400 has 144 divisors (see below), whose sum is σ = 17319766464. Its totient is φ = 1300654080.

The previous prime is 5099210387. The next prime is 5099210407. The reversal of 5099210400 is 40129905.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5099210407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9012 + ... + 101388.

It is an arithmetic number, because the mean of its divisors is an integer number (120276156).

Almost surely, 25099210400 is an apocalyptic number.

5099210400 is a gapful number since it is divisible by the number (50) 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 5099210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659883232).

5099210400 is an abundant number, since it is smaller than the sum of its proper divisors (12220556064).

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

5099210400 is a wasteful number, since it uses less digits than its factorization.

5099210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92423 (or 92410 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 5099210400 is about 71408.7557656622. The cubic root of 5099210400 is about 1721.2117835290.

The spelling of 5099210400 in words is "five billion, ninety-nine million, two hundred ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 92377 184754 277131 369508 461885 554262 739016 923770 1108524 1385655 1478032 1847540 2124671 2217048 2309425 2771310 2956064 3695080 4249342 4434096 4618850 5542620 6374013 6928275 7390160 8498684 8868192 9237700 10623355 11085240 12748026 13856550 14780320 16997368 18475400 21246710 22170480 25496052 27713100 31870065 33994736 36950800 42493420 44340960 50992104 53116775 55426200 63740130 67989472 73901600 84986840 101984208 106233550 110852400 127480260 159350325 169973680 203968416 212467100 221704800 254960520 318700650 339947360 424934200 509921040 637401300 849868400 1019842080 1274802600 1699736800 2549605200 5099210400