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52301248 = 261753907
BaseRepresentation
bin1100011110000…
…0110111000000
310122102011211021
43013200313000
5101342114443
65104555224
71203360526
oct307406700
9118364737
1052301248
112758277a
1215622b14
13aab29ac
146d36316
1548d19ed
hex31e0dc0

52301248 has 56 divisors (see below), whose sum is σ = 112087152. Its totient is φ = 24121344.

The previous prime is 52301219. The next prime is 52301261. The reversal of 52301248 is 84210325.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57211 + ... + 58117.

Almost surely, 252301248 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 52301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56043576).

52301248 is an abundant number, since it is smaller than the sum of its proper divisors (59785904).

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

52301248 is a wasteful number, since it uses less digits than its factorization.

52301248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 52301248 is about 7231.9601768815. The cubic root of 52301248 is about 373.9705048851.

The spelling of 52301248 in words is "fifty-two million, three hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 212 272 424 544 848 901 907 1088 1696 1802 1814 3392 3604 3628 7208 7256 14416 14512 15419 28832 29024 30838 48071 57664 58048 61676 96142 123352 192284 246704 384568 493408 769136 817207 986816 1538272 1634414 3076544 3268828 6537656 13075312 26150624 52301248