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52764048 = 243541331
BaseRepresentation
bin1100100101000…
…1110110010000
310200021200200000
43021101312100
5102001422143
65122530000
71210326021
oct311216620
9120250600
1052764048
1127869457
1215806900
13ac1553c
147016c48
154973bd3
hex3251d90

52764048 has 120 divisors (see below), whose sum is σ = 157344096. Its totient is φ = 17107200.

The previous prime is 52764037. The next prime is 52764059. The reversal of 52764048 is 84046725.

52764048 is a `hidden beast` number, since 5 + 2 + 7 + 640 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (52764037) and next prime (52764059).

It is a super-2 number, since 2×527640482 = 5568089522692608, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 159243 + ... + 159573.

Almost surely, 252764048 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 52764048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78672048).

52764048 is an abundant number, since it is smaller than the sum of its proper divisors (104580048).

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

52764048 is a wasteful number, since it uses less digits than its factorization.

52764048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 52764048 is about 7263.8865629909. The cubic root of 52764048 is about 375.0703228117.

The spelling of 52764048 in words is "fifty-two million, seven hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 331 369 432 486 492 648 656 662 738 972 984 993 1107 1296 1324 1476 1944 1968 1986 2214 2648 2952 2979 3321 3888 3972 4428 5296 5904 5958 6642 7944 8856 8937 9963 11916 13284 13571 15888 17712 17874 19926 23832 26568 26811 27142 35748 39852 40713 47664 53136 53622 54284 71496 79704 80433 81426 107244 108568 122139 142992 159408 160866 162852 214488 217136 244278 321732 325704 366417 428976 488556 643464 651408 732834 977112 1099251 1286928 1465668 1954224 2198502 2931336 3297753 4397004 5862672 6595506 8794008 13191012 17588016 26382024 52764048