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52731300 = 223521371283
BaseRepresentation
bin1100100100100…
…1110110100100
310200020000202010
43021021312210
5101444400200
65122114220
71210131366
oct311116644
9120200663
1052731300
1127846896
12157ab970
13ac0366b
147008d36
154969150
hex3249da4

52731300 has 72 divisors (see below), whose sum is σ = 153802656. Its totient is φ = 13948160.

The previous prime is 52731293. The next prime is 52731307. The reversal of 52731300 is 313725.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52731293) and next prime (52731307).

It is not an unprimeable number, because it can be changed into a prime (52731307) 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, 40459 + ... + 41741.

It is an arithmetic number, because the mean of its divisors is an integer number (2136148).

Almost surely, 252731300 is an apocalyptic number.

52731300 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 52731300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76901328).

52731300 is an abundant number, since it is smaller than the sum of its proper divisors (101071356).

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

52731300 is a wasteful number, since it uses less digits than its factorization.

52731300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 52731300 is about 7261.6320479628. The cubic root of 52731300 is about 374.9927109694.

The spelling of 52731300 in words is "fifty-two million, seven hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 137 150 274 300 411 548 685 822 1283 1370 1644 2055 2566 2740 3425 3849 4110 5132 6415 6850 7698 8220 10275 12830 13700 15396 19245 20550 25660 32075 38490 41100 64150 76980 96225 128300 175771 192450 351542 384900 527313 703084 878855 1054626 1757710 2109252 2636565 3515420 4394275 5273130 8788550 10546260 13182825 17577100 26365650 52731300