Search a number
-
+
50289372 = 223271971013
BaseRepresentation
bin1011111111010…
…1101011011100
310111121222001100
42333311223130
5100333224442
64553513100
71150311150
oct277655334
9114558040
1050289372
1126429171
1214a12790
13a55a033
146971060
15463584c
hex2ff5adc

50289372 has 72 divisors (see below), whose sum is σ = 146162016. Its totient is φ = 14281344.

The previous prime is 50289367. The next prime is 50289373. The reversal of 50289372 is 27398205.

It is a happy number.

50289372 is a `hidden beast` number, since 5 + 0 + 289 + 372 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50289373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49138 + ... + 50150.

It is an arithmetic number, because the mean of its divisors is an integer number (2030028).

Almost surely, 250289372 is an apocalyptic number.

It is a pronic number, being equal to 7091×7092.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50289372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73081008).

50289372 is an abundant number, since it is smaller than the sum of its proper divisors (95872644).

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

50289372 is a wasteful number, since it uses less digits than its factorization.

50289372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 50289372 is about 7091.4999823733. The cubic root of 50289372 is about 369.1124869122.

It can be divided in two parts, 5028 and 9372, that added together give a square (14400 = 1202).

The spelling of 50289372 in words is "fifty million, two hundred eighty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 252 394 591 788 1013 1182 1379 1773 2026 2364 2758 3039 3546 4052 4137 5516 6078 7091 7092 8274 9117 12156 12411 14182 16548 18234 21273 24822 28364 36468 42546 49644 63819 85092 127638 199561 255276 399122 598683 798244 1197366 1396927 1796049 2394732 2793854 3592098 4190781 5587708 7184196 8381562 12572343 16763124 25144686 50289372