Search a number
-
+
50458080 = 2535313391
BaseRepresentation
bin1100000001111…
…0110111100000
310111221112110210
43000132313200
5100404124310
65001254120
71151613051
oct300366740
9114845423
1050458080
11265339a2
1214a94340
13a5b8a6a
1469b6728
15466a820
hex301ede0

50458080 has 96 divisors (see below), whose sum is σ = 164118528. Its totient is φ = 13017600.

The previous prime is 50458063. The next prime is 50458087. The reversal of 50458080 is 8085405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50458087) 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, 13185 + ... + 16575.

It is an arithmetic number, because the mean of its divisors is an integer number (1709568).

Almost surely, 250458080 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 50458080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82059264).

50458080 is an abundant number, since it is smaller than the sum of its proper divisors (113660448).

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

50458080 is a wasteful number, since it uses less digits than its factorization.

50458080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 50458080 is about 7103.3851085240. The cubic root of 50458080 is about 369.5247855793.

The spelling of 50458080 in words is "fifty million, four hundred fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3391 3720 4960 6782 7440 10173 13564 14880 16955 20346 27128 33910 40692 50865 54256 67820 81384 101730 105121 108512 135640 162768 203460 210242 271280 315363 325536 406920 420484 525605 542560 630726 813840 840968 1051210 1261452 1576815 1627680 1681936 2102420 2522904 3153630 3363872 4204840 5045808 6307260 8409680 10091616 12614520 16819360 25229040 50458080