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52746148 = 227213127163
BaseRepresentation
bin1100100100110…
…1011110100100
310200020210010001
43021031132210
5102000334043
65122311044
71210222600
oct311153644
9120223101
1052746148
1127856a64
12157b8484
13ac0a350
147010500
15496d74d
hex324d7a4

52746148 has 72 divisors (see below), whose sum is σ = 117261312. Its totient is φ = 20575296.

The previous prime is 52746137. The next prime is 52746163. The reversal of 52746148 is 84164725.

52746148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×527461482 = 5564312257675808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323515 + ... + 323677.

Almost surely, 252746148 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 52746148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58630656).

52746148 is an abundant number, since it is smaller than the sum of its proper divisors (64515164).

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

52746148 is a wasteful number, since it uses less digits than its factorization.

52746148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 52746148 is about 7262.6543357095. The cubic root of 52746148 is about 375.0279042939.

The spelling of 52746148 in words is "fifty-two million, seven hundred forty-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 127 163 182 196 254 326 364 508 637 652 889 1141 1274 1651 1778 2119 2282 2548 3302 3556 4238 4564 6223 6604 7987 8476 11557 12446 14833 15974 20701 23114 24892 29666 31948 41402 46228 59332 80899 82804 103831 144907 161798 207662 269113 289814 323596 415324 538226 579628 1014349 1076452 1883791 2028698 3767582 4057396 7535164 13186537 26373074 52746148