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74714952 = 233131012371
BaseRepresentation
bin1000111010000…
…00111101001000
312012120220122110
410131000331020
5123111334302
611225222320
71565031564
oct435007510
9165526573
1074714952
11391a14a4
12210319a0
131262c940
149ccc6a4
15685cb6c
hex4740f48

74714952 has 64 divisors (see below), whose sum is σ = 203232960. Its totient is φ = 22752000.

The previous prime is 74714917. The next prime is 74714957. The reversal of 74714952 is 25941747.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 74714952.

It is not an unprimeable number, because it can be changed into a prime (74714957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30327 + ... + 32697.

It is an arithmetic number, because the mean of its divisors is an integer number (3175515).

Almost surely, 274714952 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 74714952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101616480).

74714952 is an abundant number, since it is smaller than the sum of its proper divisors (128518008).

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

74714952 is a wasteful number, since it uses less digits than its factorization.

74714952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2490 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 74714952 is about 8643.7811170806. The cubic root of 74714952 is about 421.1813903822.

The spelling of 74714952 in words is "seventy-four million, seven hundred fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 303 312 404 606 808 1212 1313 2371 2424 2626 3939 4742 5252 7113 7878 9484 10504 14226 15756 18968 28452 30823 31512 56904 61646 92469 123292 184938 239471 246584 369876 478942 718413 739752 957884 1436826 1915768 2873652 3113123 5747304 6226246 9339369 12452492 18678738 24904984 37357476 74714952