Search a number
-
+
50742640 = 2451397503
BaseRepresentation
bin1100000110010…
…0010101110000
310112110222211001
43001210111300
5100442231030
65011331344
71154206504
oct301442560
9115428731
1050742640
1126708773
1214bb0b54
13a688440
146a4c304
1546c4cca
hex3064570

50742640 has 80 divisors (see below), whose sum is σ = 128616768. Its totient is φ = 18505728.

The previous prime is 50742617. The next prime is 50742647. The reversal of 50742640 is 4624705.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 50742599 and 50742608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50742647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100629 + ... + 101131.

Almost surely, 250742640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50742640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64308384).

50742640 is an abundant number, since it is smaller than the sum of its proper divisors (77874128).

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

50742640 is a wasteful number, since it uses less digits than its factorization.

50742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 50742640 is about 7123.3868349262. The cubic root of 50742640 is about 370.2181328796.

The spelling of 50742640 in words is "fifty million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 97 104 130 194 208 260 388 485 503 520 776 970 1006 1040 1261 1552 1940 2012 2515 2522 3880 4024 5030 5044 6305 6539 7760 8048 10060 10088 12610 13078 20120 20176 25220 26156 32695 40240 48791 50440 52312 65390 97582 100880 104624 130780 195164 243955 261560 390328 487910 523120 634283 780656 975820 1268566 1951640 2537132 3171415 3903280 5074264 6342830 10148528 12685660 25371320 50742640