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95029452 = 22327439859
BaseRepresentation
bin1011010101000…
…00100011001100
320121210222220100
411222200203030
5143311420302
613232451100
72232510540
oct552404314
9217728810
1095029452
1149707041
12279a9a90
13168c325b
14c899a20
158521d1c
hex5aa08cc

95029452 has 72 divisors (see below), whose sum is σ = 275475200. Its totient is φ = 27057888.

The previous prime is 95029427. The next prime is 95029457. The reversal of 95029452 is 25492059.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (95029457) 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 23 ways as a sum of consecutive naturals, for example, 110199 + ... + 111057.

Almost surely, 295029452 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 95029452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137737600).

95029452 is an abundant number, since it is smaller than the sum of its proper divisors (180445748).

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

95029452 is a wasteful number, since it uses less digits than its factorization.

95029452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 95029452 is about 9748.3050834491. The cubic root of 95029452 is about 456.3374118626.

It can be divided in two parts, 95029 and 452, that added together give a square (95481 = 3092).

The spelling of 95029452 in words is "ninety-five million, twenty-nine thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 439 859 878 1317 1718 1756 2577 2634 3073 3436 3951 5154 5268 6013 6146 7731 7902 9219 10308 12026 12292 15462 15804 18039 18438 24052 27657 30924 36078 36876 54117 55314 72156 108234 110628 216468 377101 754202 1131303 1508404 2262606 2639707 3393909 4525212 5279414 6787818 7919121 10558828 13575636 15838242 23757363 31676484 47514726 95029452