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51252750 = 234532531
BaseRepresentation
bin1100001110000…
…0111000001110
310120102220120000
43003200320032
5101110042000
65030305130
71161432633
oct303407016
9116386500
1051252750
1126a26a4a
12151b81a6
13a806693
146b4218a
154776000
hex30e0e0e

51252750 has 80 divisors (see below), whose sum is σ = 143382096. Its totient is φ = 13662000.

The previous prime is 51252727. The next prime is 51252787. The reversal of 51252750 is 5725215.

It is a happy number.

51252750 is a nontrivial binomial coefficient, being equal to C(10125, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 18985 + ... + 21515.

Almost surely, 251252750 is an apocalyptic number.

51252750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51252750 is the 10124-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51252750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71691048).

51252750 is an abundant number, since it is smaller than the sum of its proper divisors (92129346).

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

51252750 is a wasteful number, since it uses less digits than its factorization.

51252750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 51252750 is about 7159.1025973931. The cubic root of 51252750 is about 371.4545857378.

Adding to 51252750 its reverse (5725215), we get a palindrome (56977965).

It can be divided in two parts, 5125 and 2750, that added together give a triangular number (7875 = T125).

The spelling of 51252750 in words is "fifty-one million, two hundred fifty-two thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 375 405 450 675 750 810 1125 1350 2025 2250 2531 3375 4050 5062 6750 7593 10125 12655 15186 20250 22779 25310 37965 45558 63275 68337 75930 113895 126550 136674 189825 205011 227790 316375 341685 379650 410022 569475 632750 683370 949125 1025055 1138950 1708425 1898250 2050110 2847375 3416850 5125275 5694750 8542125 10250550 17084250 25626375 51252750