Search a number
-
+
74331752 = 23112174517
BaseRepresentation
bin1000110111000…
…11011001101000
312011212102222212
410123203121220
5123012104002
611213104252
71561544435
oct433433150
9164772885
1074331752
1138a5a600
1220a88088
13125273b1
149c2cb8c
1567d4352
hex46e3668

74331752 has 48 divisors (see below), whose sum is σ = 162241380. Its totient is φ = 31792640.

The previous prime is 74331731. The next prime is 74331757. The reversal of 74331752 is 25713347.

It can be written as a sum of positive squares in 2 ways, for example, as 70997476 + 3334276 = 8426^2 + 1826^2 .

It is not an unprimeable number, because it can be changed into a prime (74331757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14198 + ... + 18714.

Almost surely, 274331752 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 74331752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81120690).

74331752 is an abundant number, since it is smaller than the sum of its proper divisors (87909628).

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

74331752 is a wasteful number, since it uses less digits than its factorization.

74331752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4547 counting only the distinct ones).

The product of its digits is 17640, while the sum is 32.

The square root of 74331752 is about 8621.5863969458. The cubic root of 74331752 is about 420.4601004726.

The spelling of 74331752 in words is "seventy-four million, three hundred thirty-one thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4114 4517 8228 9034 16456 18068 36136 49687 76789 99374 153578 198748 307156 397496 546557 614312 844679 1093114 1689358 2186228 3378716 4372456 6757432 9291469 18582938 37165876 74331752