Search a number
-
+
74216436 = 22376713187
BaseRepresentation
bin1000110110001…
…11001111110100
312011122120210220
410123013033310
5122444411221
611210414340
71560554310
oct433071764
9164576726
1074216436
11389909a8
1220a313b0
13124b6a68
149bdcb40
1567b00c6
hex46c73f4

74216436 has 48 divisors (see below), whose sum is σ = 200879616. Its totient is φ = 20886624.

The previous prime is 74216411. The next prime is 74216447. The reversal of 74216436 is 63461247.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 74216397 and 74216406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (4184992).

Almost surely, 274216436 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 74216436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100439808).

74216436 is an abundant number, since it is smaller than the sum of its proper divisors (126663180).

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

74216436 is a wasteful number, since it uses less digits than its factorization.

74216436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13268 (or 13266 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 74216436 is about 8614.8961688461. The cubic root of 74216436 is about 420.2425583035.

The spelling of 74216436 in words is "seventy-four million, two hundred sixteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1876 2814 5628 13187 26374 39561 52748 79122 92309 158244 184618 276927 369236 553854 883529 1107708 1767058 2650587 3534116 5301174 6184703 10602348 12369406 18554109 24738812 37108218 74216436