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147125052 = 223313110399
BaseRepresentation
bin10001100010011…
…11001100111100
3101020211201122000
420301033030330
5300131000202
622333222300
73434354004
oct1061171474
9336751560
10147125052
1176059258
1241331990
1324633459
141577b004
15cdb291c
hex8c4f33c

147125052 has 48 divisors (see below), whose sum is σ = 384384000. Its totient is φ = 48662640.

The previous prime is 147125051. The next prime is 147125057. The reversal of 147125052 is 250521741.

147125052 is a `hidden beast` number, since 147 + 12 + 505 + 2 = 666.

147125052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (147125051) 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, 8949 + ... + 19347.

It is an arithmetic number, because the mean of its divisors is an integer number (8008000).

Almost surely, 2147125052 is an apocalyptic number.

147125052 is a gapful number since it is divisible by the number (12) 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 147125052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192192000).

147125052 is an abundant number, since it is smaller than the sum of its proper divisors (237258948).

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

147125052 is a wasteful number, since it uses less digits than its factorization.

147125052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543 (or 10535 counting only the distinct ones).

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

The square root of 147125052 is about 12129.5116142407. The cubic root of 147125052 is about 527.9128213504.

Adding to 147125052 its reverse (250521741), we get a palindrome (397646793).

The spelling of 147125052 in words is "one hundred forty-seven million, one hundred twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 10399 14148 20798 31197 41596 62394 93591 124788 187182 280773 374364 561546 1123092 1362269 2724538 4086807 5449076 8173614 12260421 16347228 24520842 36781263 49041684 73562526 147125052