Search a number
-
+
74257641 = 35674561
BaseRepresentation
bin1000110110100…
…01010011101001
312011201200100000
410123101103221
5123002221031
611211333213
71561115403
oct433212351
9164650300
1074257641
1138a09957
1220a51209
13124cc743
149c0db73
1567bc3e6
hex46d14e9

74257641 has 24 divisors (see below), whose sum is σ = 112918624. Its totient is φ = 48755520.

The previous prime is 74257637. The next prime is 74257657. The reversal of 74257641 is 14675247.

74257641 is a `hidden beast` number, since 7 + 4 + 2 + 5 + 7 + 641 = 666.

It is not a de Polignac number, because 74257641 - 22 = 74257637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 74257596 and 74257605.

It is not an unprimeable number, because it can be changed into a prime (74257621) 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 23 ways as a sum of consecutive naturals, for example, 14001 + ... + 18561.

Almost surely, 274257641 is an apocalyptic number.

It is an amenable number.

74257641 is a deficient number, since it is larger than the sum of its proper divisors (38660983).

74257641 is an equidigital number, since it uses as much as digits as its factorization.

74257641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4631 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 74257641 is about 8617.2873341905. The cubic root of 74257641 is about 420.3203168698.

The spelling of 74257641 in words is "seventy-four million, two hundred fifty-seven thousand, six hundred forty-one".

Divisors: 1 3 9 27 67 81 201 243 603 1809 4561 5427 13683 16281 41049 123147 305587 369441 916761 1108323 2750283 8250849 24752547 74257641