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74925 = 345237
BaseRepresentation
bin10010010010101101
310210210000
4102102231
54344200
61334513
7431304
oct222255
9123700
1074925
1151324
1237439
1328146
141d43b
1517300
hex124ad

74925 has 30 divisors (see below), whose sum is σ = 142538. Its totient is φ = 38880.

The previous prime is 74923. The next prime is 74929. The reversal of 74925 is 52947.

It can be written as a sum of positive squares in 3 ways, for example, as 15876 + 59049 = 126^2 + 243^2 .

It is not a de Polignac number, because 74925 - 21 = 74923 is a prime.

It is a super-2 number, since 2×749252 = 11227511250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 73 + 48 + 93 + 213 + 53 .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

Its product of digits (2520) is a multiple of the sum of its prime divisors (45).

It is a plaindrome in base 8 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74923) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2007 + ... + 2043.

274925 is an apocalyptic number.

74925 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

74925 is a deficient number, since it is larger than the sum of its proper divisors (67613).

74925 is a wasteful number, since it uses less digits than its factorization.

74925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 45 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 74925 is about 273.7243138634. The cubic root of 74925 is about 42.1575713657.

74925 divided by its sum of digits (27) gives a triangular number (2775 = T74).

It can be divided in two parts, 74 and 925, that added together give a palindrome (999).

The spelling of 74925 in words is "seventy-four thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 135 185 225 333 405 555 675 925 999 1665 2025 2775 2997 4995 8325 14985 24975 74925