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74135432 = 2372379499
BaseRepresentation
bin1000110101100…
…11011110001000
312011111110200202
410122303132020
5122434313212
611204551332
71560066200
oct432633610
9164443622
1074135432
1138936058
12209b2548
1312488c27
149bbb400
1567960c2
hex46b3788

74135432 has 48 divisors (see below), whose sum is σ = 162450000. Its totient is φ = 31624992.

The previous prime is 74135429. The next prime is 74135437. The reversal of 74135432 is 23453147.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 74135395 and 74135404.

It is not an unprimeable number, because it can be changed into a prime (74135437) 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, 148319 + ... + 148817.

It is an arithmetic number, because the mean of its divisors is an integer number (3384375).

Almost surely, 274135432 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 74135432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81225000).

74135432 is an abundant number, since it is smaller than the sum of its proper divisors (88314568).

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

74135432 is a wasteful number, since it uses less digits than its factorization.

74135432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 887 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 74135432 is about 8610.1934937608. The cubic root of 74135432 is about 420.0896105091.

Adding to 74135432 its reverse (23453147), we get a palindrome (97588579).

The spelling of 74135432 in words is "seventy-four million, one hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 379 392 499 758 998 1516 1996 2653 3032 3493 3992 5306 6986 10612 13972 18571 21224 24451 27944 37142 48902 74284 97804 148568 189121 195608 378242 756484 1323847 1512968 2647694 5295388 9266929 10590776 18533858 37067716 74135432