Search a number
-
+
74494784 = 2671312791
BaseRepresentation
bin1000111000010…
…11001101000000
312012011201122002
410130023031000
5123032313114
611220403132
71563123650
oct434131500
9165151562
1074494784
1139061041
1220b464a8
1312583670
149c72360
1568177de
hex470b340

74494784 has 56 divisors (see below), whose sum is σ = 181953408. Its totient is φ = 29468160.

The previous prime is 74494781. The next prime is 74494789. The reversal of 74494784 is 48749447.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74494781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572 + ... + 12219.

It is an arithmetic number, because the mean of its divisors is an integer number (3249168).

Almost surely, 274494784 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 74494784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90976704).

74494784 is an abundant number, since it is smaller than the sum of its proper divisors (107458624).

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

74494784 is a wasteful number, since it uses less digits than its factorization.

74494784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12823 (or 12813 counting only the distinct ones).

The product of its digits is 903168, while the sum is 47.

The square root of 74494784 is about 8631.0360907599. The cubic root of 74494784 is about 420.7672747035.

The spelling of 74494784 in words is "seventy-four million, four hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 12791 25582 51164 89537 102328 166283 179074 204656 332566 358148 409312 665132 716296 818624 1163981 1330264 1432592 2327962 2660528 2865184 4655924 5321056 5730368 9311848 10642112 18623696 37247392 74494784