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74152152 = 23332111627
BaseRepresentation
bin1000110101101…
…11100011011000
312011112022122000
410122313203120
5122440332102
611205201000
71560166014
oct432674330
9164468560
1074152152
1138947678
1220a00160
1312493719
149bc3544
15679b01c
hex46b78d8

74152152 has 64 divisors (see below), whose sum is σ = 207081600. Its totient is φ = 24585120.

The previous prime is 74152151. The next prime is 74152213. The reversal of 74152152 is 25125147.

It is a super-2 number, since 2×741521522 = 10997083292462208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74152151) 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, 44763 + ... + 46389.

It is an arithmetic number, because the mean of its divisors is an integer number (3235650).

Almost surely, 274152152 is an apocalyptic number.

74152152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103540800).

74152152 is an abundant number, since it is smaller than the sum of its proper divisors (132929448).

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

74152152 is a wasteful number, since it uses less digits than its factorization.

74152152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1843 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 74152152 is about 8611.1643811972. The cubic root of 74152152 is about 420.1211895176.

Adding to 74152152 its reverse (25125147), we get a palindrome (99277299).

The spelling of 74152152 in words is "seventy-four million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 422 633 844 1266 1627 1688 1899 2532 3254 3798 4881 5064 5697 6508 7596 9762 11394 13016 14643 15192 19524 22788 29286 39048 43929 45576 58572 87858 117144 175716 343297 351432 686594 1029891 1373188 2059782 2746376 3089673 4119564 6179346 8239128 9269019 12358692 18538038 24717384 37076076 74152152