Search a number
-
+
74931648 = 26311172087
BaseRepresentation
bin1000111011101…
…01110111000000
312012222220220020
410131311313000
5123140303043
611234013440
71566623421
oct435656700
9165886806
1074931648
113932a290
1221117280
13126a746c
149d47648
1568a1e83
hex4775dc0

74931648 has 112 divisors (see below), whose sum is σ = 229112064. Its totient is φ = 21360640.

The previous prime is 74931643. The next prime is 74931667. The reversal of 74931648 is 84613947.

It is a super-2 number, since 2×749316482 = 11229503743991808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74931643) 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, 34861 + ... + 36947.

Almost surely, 274931648 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 74931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114556032).

74931648 is an abundant number, since it is smaller than the sum of its proper divisors (154180416).

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

74931648 is a wasteful number, since it uses less digits than its factorization.

74931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2120 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 74931648 is about 8656.3068337484. The cubic root of 74931648 is about 421.5881819135.

The spelling of 74931648 in words is "seventy-four million, nine hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2087 2112 2244 2992 3264 4174 4488 5984 6261 8348 8976 11968 12522 16696 17952 22957 25044 33392 35479 35904 45914 50088 66784 68871 70958 91828 100176 106437 133568 137742 141916 183656 200352 212874 275484 283832 367312 390269 400704 425748 550968 567664 734624 780538 851496 1101936 1135328 1170807 1469248 1561076 1702992 2203872 2270656 2341614 3122152 3405984 4407744 4683228 6244304 6811968 9366456 12488608 18732912 24977216 37465824 74931648