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52732944 = 243711137
BaseRepresentation
bin1100100100101…
…0010000010000
310200020010000000
43021022100100
5101444423234
65122130000
71210136235
oct311122020
9120203000
1052732944
1127848050
12157b0900
13ac04334
14700978c
154969899
hex324a410

52732944 has 160 divisors (see below), whose sum is σ = 168382080. Its totient is φ = 15863040.

The previous prime is 52732943. The next prime is 52732949. The reversal of 52732944 is 44923725.

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

It is a junction number, because it is equal to n+sod(n) for n = 52732899 and 52732908.

It is not an unprimeable number, because it can be changed into a prime (52732943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384844 + ... + 384980.

It is an arithmetic number, because the mean of its divisors is an integer number (1052388).

Almost surely, 252732944 is an apocalyptic number.

52732944 is a gapful number since it is divisible by the number (54) 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 52732944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84191040).

52732944 is an abundant number, since it is smaller than the sum of its proper divisors (115649136).

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

52732944 is a wasteful number, since it uses less digits than its factorization.

52732944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 52732944 is about 7261.7452447742. The cubic root of 52732944 is about 374.9966079693.

The spelling of 52732944 in words is "fifty-two million, seven hundred thirty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 137 144 162 176 198 216 243 264 274 297 324 396 411 432 486 528 548 594 648 729 792 822 891 972 1096 1188 1233 1296 1458 1507 1584 1644 1782 1944 2187 2192 2376 2466 2673 2916 3014 3288 3564 3699 3888 4374 4521 4752 4932 5346 5832 6028 6576 7128 7398 8019 8748 9042 9864 10692 11097 11664 12056 13563 14256 14796 16038 17496 18084 19728 21384 22194 24057 24112 27126 29592 32076 33291 34992 36168 40689 42768 44388 48114 54252 59184 64152 66582 72336 81378 88776 96228 99873 108504 122067 128304 133164 162756 177552 192456 199746 217008 244134 266328 299619 325512 366201 384912 399492 488268 532656 599238 651024 732402 798984 976536 1098603 1198476 1464804 1597968 1953072 2197206 2396952 2929608 3295809 4394412 4793904 5859216 6591618 8788824 13183236 17577648 26366472 52732944