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74141925 = 352111331223
BaseRepresentation
bin1000110101101…
…01000011100101
312011111210121020
410122311003211
5122440020200
611205041353
71560124134
oct432650345
9164453536
1074141925
113893aa20
12209b6259
131248bb80
149bbd91b
156797ea0
hex46b50e5

74141925 has 96 divisors (see below), whose sum is σ = 149323776. Its totient is φ = 31968000.

The previous prime is 74141917. The next prime is 74141941. The reversal of 74141925 is 52914147.

It is a happy number.

It is not a de Polignac number, because 74141925 - 23 = 74141917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 332364 + ... + 332586.

It is an arithmetic number, because the mean of its divisors is an integer number (1555456).

Almost surely, 274141925 is an apocalyptic number.

74141925 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74141925 is an abundant number, since it is smaller than the sum of its proper divisors (75181851).

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

74141925 is a wasteful number, since it uses less digits than its factorization.

74141925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 74141925 is about 8610.5705385880. The cubic root of 74141925 is about 420.1018743805.

It can be divided in two parts, 7414 and 1925, that added together give a palindrome (9339).

The spelling of 74141925 in words is "seventy-four million, one hundred forty-one thousand, nine hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 31 33 39 55 65 75 93 143 155 165 195 223 275 325 341 403 429 465 669 715 775 825 975 1023 1115 1209 1705 2015 2145 2325 2453 2899 3345 3575 4433 5115 5575 6045 6913 7359 8525 8697 10075 10725 12265 13299 14495 16725 20739 22165 25575 30225 31889 34565 36795 43485 61325 66495 72475 76043 89869 95667 103695 110825 159445 172825 183975 217425 228129 269607 332475 380215 449345 478335 518475 797225 988559 1140645 1348035 1901075 2246725 2391675 2965677 4942795 5703225 6740175 14828385 24713975 74141925