Search a number
-
+
74778820 = 22529314159
BaseRepresentation
bin1000111010100…
…00100011000100
312012201011020221
410131100203010
5123120410240
611230434124
71565416024
oct435204304
9165634227
1074778820
1139235486
1221062944
1312652a2c
149d07a84
156871a4a
hex47508c4

74778820 has 48 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 27941760.

The previous prime is 74778817. The next prime is 74778829. The reversal of 74778820 is 2887747.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (74778829) 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, 15901 + ... + 20059.

It is an arithmetic number, because the mean of its divisors is an integer number (3494400).

Almost surely, 274778820 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 74778820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

74778820 is an abundant number, since it is smaller than the sum of its proper divisors (92952380).

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

74778820 is a wasteful number, since it uses less digits than its factorization.

74778820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 43.

The square root of 74778820 is about 8647.4747759100. The cubic root of 74778820 is about 421.3013679371.

The spelling of 74778820 in words is "seventy-four million, seven hundred seventy-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 3596 4159 4495 8318 8990 16636 17980 20795 41590 83180 120611 128929 241222 257858 482444 515716 603055 644645 1206110 1289290 2412220 2578580 3738941 7477882 14955764 18694705 37389410 74778820