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52987500 = 223355157
BaseRepresentation
bin1100101000100…
…0011001101100
310200201001012000
43022020121230
5102031100000
65131412300
71212246336
oct312103154
9120631160
1052987500
1127a01325
12158b4090
13ac93167
147074456
1549ba000
hex328866c

52987500 has 144 divisors (see below), whose sum is σ = 172801440. Its totient is φ = 14040000.

The previous prime is 52987499. The next prime is 52987537. The reversal of 52987500 is 578925.

Added to its reverse (578925) it gives a triangular number (53566425 = T10350).

52987500 is a `hidden beast` number, since 529 + 87 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337422 + ... + 337578.

It is an arithmetic number, because the mean of its divisors is an integer number (1200010).

Almost surely, 252987500 is an apocalyptic number.

52987500 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 52987500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86400720).

52987500 is an abundant number, since it is smaller than the sum of its proper divisors (119813940).

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

52987500 is a wasteful number, since it uses less digits than its factorization.

52987500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 52987500 is about 7279.2513351306. The cubic root of 52987500 is about 375.5990425518.

Adding to 52987500 its reverse (578925), we get a triangular number (53566425 = T10350).

The spelling of 52987500 in words is "fifty-two million, nine hundred eighty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 157 180 225 250 270 300 314 375 450 471 500 540 625 628 675 750 785 900 942 1125 1250 1350 1413 1500 1570 1875 1884 2250 2355 2500 2700 2826 3125 3140 3375 3750 3925 4239 4500 4710 5625 5652 6250 6750 7065 7500 7850 8478 9375 9420 11250 11775 12500 13500 14130 15700 16875 16956 18750 19625 21195 22500 23550 28125 28260 33750 35325 37500 39250 42390 47100 56250 58875 67500 70650 78500 84375 84780 98125 105975 112500 117750 141300 168750 176625 196250 211950 235500 294375 337500 353250 392500 423900 490625 529875 588750 706500 883125 981250 1059750 1177500 1471875 1766250 1962500 2119500 2649375 2943750 3532500 4415625 5298750 5887500 8831250 10597500 13246875 17662500 26493750 52987500