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52742448 = 24331121009
BaseRepresentation
bin1100100100110…
…0100100110000
310200020121001000
43021030210300
5102000224243
65122242000
71210206033
oct311144460
9120217030
1052742448
1127854200
12157b6300
13ac08765
14700d01a
15496c5d3
hex324c930

52742448 has 120 divisors (see below), whose sum is σ = 166569200. Its totient is φ = 15966720.

The previous prime is 52742419. The next prime is 52742471. The reversal of 52742448 is 84424725.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51768 + ... + 52776.

Almost surely, 252742448 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 52742448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83284600).

52742448 is an abundant number, since it is smaller than the sum of its proper divisors (113826752).

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

52742448 is a wasteful number, since it uses less digits than its factorization.

52742448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1025 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 52742448 is about 7262.3996034369. The cubic root of 52742448 is about 375.0191350236.

The spelling of 52742448 in words is "fifty-two million, seven hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1009 1089 1188 1452 1584 1936 2018 2178 2376 2904 3027 3267 4036 4356 4752 5808 6054 6534 8072 8712 9081 11099 12108 13068 16144 17424 18162 22198 24216 26136 27243 33297 36324 44396 48432 52272 54486 66594 72648 88792 99891 108972 122089 133188 145296 177584 199782 217944 244178 266376 299673 366267 399564 435888 488356 532752 599346 732534 799128 976712 1098801 1198692 1465068 1598256 1953424 2197602 2397384 2930136 3296403 4395204 4794768 5860272 6592806 8790408 13185612 17580816 26371224 52742448