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51530752 = 210721379
BaseRepresentation
bin1100010010010…
…0110000000000
310120222000220101
43010210300000
5101142441002
65040252144
71164001300
oct304446000
9116860811
1051530752
11270a68a9
1215311054
13a8a3090
146bb5600
1547cd587
hex3124c00

51530752 has 132 divisors (see below), whose sum is σ = 130680480. Its totient is φ = 20127744.

The previous prime is 51530749. The next prime is 51530779. The reversal of 51530752 is 25703515.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 51530752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652249 + ... + 652327.

Almost surely, 251530752 is an apocalyptic number.

51530752 is a gapful number since it is divisible by the number (52) 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 51530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340240).

51530752 is an abundant number, since it is smaller than the sum of its proper divisors (79149728).

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

51530752 is a wasteful number, since it uses less digits than its factorization.

51530752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 51530752 is about 7178.4923208150. The cubic root of 51530752 is about 372.1249820922.

The spelling of 51530752 in words is "fifty-one million, five hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 79 91 98 104 112 128 158 182 196 208 224 256 316 364 392 416 448 512 553 632 637 728 784 832 896 1024 1027 1106 1264 1274 1456 1568 1664 1792 2054 2212 2528 2548 2912 3136 3328 3584 3871 4108 4424 5056 5096 5824 6272 6656 7168 7189 7742 8216 8848 10112 10192 11648 12544 13312 14378 15484 16432 17696 20224 20384 23296 25088 28756 30968 32864 35392 40448 40768 46592 50176 50323 57512 61936 65728 70784 80896 81536 93184 100646 115024 123872 131456 141568 163072 201292 230048 247744 262912 283136 326144 402584 460096 495488 525824 566272 652288 805168 920192 990976 1051648 1610336 1840384 1981952 3220672 3680768 3963904 6441344 7361536 12882688 25765376 51530752