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50507730 = 23257213881
BaseRepresentation
bin1100000010101…
…0111111010010
310112001001120200
43000222333102
5100412221410
65002320030
71152210600
oct300527722
9115031520
1050507730
1126568229
1214ab9016
13a605540
1469ca870
15467a3c0
hex302afd2

50507730 has 144 divisors (see below), whose sum is σ = 164697624. Its totient is φ = 10644480.

The previous prime is 50507729. The next prime is 50507753. The reversal of 50507730 is 3770505.

50507730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22724289 + 27783441 = 4767^2 + 5271^2 .

It is a junction number, because it is equal to n+sod(n) for n = 50507694 and 50507703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56890 + ... + 57770.

Almost surely, 250507730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50507730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82348812).

50507730 is an abundant number, since it is smaller than the sum of its proper divisors (114189894).

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

50507730 is a wasteful number, since it uses less digits than its factorization.

50507730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 50507730 is about 7106.8790618667. The cubic root of 50507730 is about 369.6459481443.

The spelling of 50507730 in words is "fifty million, five hundred seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 881 882 910 1170 1274 1365 1470 1638 1762 1911 2205 2643 2730 3185 3822 4095 4405 4410 5286 5733 6167 6370 7929 8190 8810 9555 11453 11466 12334 13215 15858 18501 19110 22906 26430 28665 30835 34359 37002 39645 43169 55503 57265 57330 61670 68718 79290 80171 86338 92505 103077 111006 114530 129507 160342 171795 185010 206154 215845 240513 259014 277515 343590 388521 400855 431690 481026 515385 555030 561197 647535 721539 777042 801710 1030770 1122394 1202565 1295070 1443078 1683591 1942605 2405130 2805985 3367182 3607695 3885210 5050773 5611970 7215390 8417955 10101546 16835910 25253865 50507730