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5342554300 = 2252178935311
BaseRepresentation
bin1001111100111000…
…01110100010111100
3111210022221212201111
410332130032202330
541420143214200
62242045251404
7246251651026
oct47634164274
914708855644
105342554300
1122a1807136
121051263b64
13671b08a45
14389791016
1521406e0ba
hex13e70e8bc

5342554300 has 72 divisors (see below), whose sum is σ = 12413580480. Its totient is φ = 1988659200.

The previous prime is 5342554279. The next prime is 5342554303. The reversal of 5342554300 is 34552435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5342554303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133645 + ... + 168955.

It is an arithmetic number, because the mean of its divisors is an integer number (172410840).

Almost surely, 25342554300 is an apocalyptic number.

5342554300 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 5342554300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206790240).

5342554300 is an abundant number, since it is smaller than the sum of its proper divisors (7071026180).

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

5342554300 is a wasteful number, since it uses less digits than its factorization.

5342554300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35431 (or 35424 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 5342554300 is about 73092.7787130849. The cubic root of 5342554300 is about 1748.1672567816.

The spelling of 5342554300 in words is "five billion, three hundred forty-two million, five hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 89 100 170 178 340 356 425 445 850 890 1513 1700 1780 2225 3026 4450 6052 7565 8900 15130 30260 35311 37825 70622 75650 141244 151300 176555 353110 600287 706220 882775 1200574 1765550 2401148 3001435 3142679 3531100 6002870 6285358 12005740 12570716 15007175 15713395 30014350 31426790 53425543 60028700 62853580 78566975 106851086 157133950 213702172 267127715 314267900 534255430 1068510860 1335638575 2671277150 5342554300