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20058752 = 27761367
BaseRepresentation
bin100110010000…
…1001010000000
31101202002102202
41030201022000
520113340002
61553532332
7332332220
oct114411200
941662382
1020058752
111036048a
1268740a8
1342040ac
142942080
151b63502
hex1321280

20058752 has 64 divisors (see below), whose sum is σ = 46544640. Its totient is φ = 8432640.

The previous prime is 20058739. The next prime is 20058763. The reversal of 20058752 is 25785002.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54473 + ... + 54839.

It is an arithmetic number, because the mean of its divisors is an integer number (727260).

Almost surely, 220058752 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 20058752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23272320).

20058752 is an abundant number, since it is smaller than the sum of its proper divisors (26485888).

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

20058752 is an equidigital number, since it uses as much as digits as its factorization.

20058752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 20058752 is about 4478.6998113292. The cubic root of 20058752 is about 271.7072975892.

The spelling of 20058752 in words is "twenty million, fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 367 427 448 488 734 854 896 976 1468 1708 1952 2569 2936 3416 3904 5138 5872 6832 7808 10276 11744 13664 20552 22387 23488 27328 41104 44774 46976 54656 82208 89548 156709 164416 179096 313418 328832 358192 626836 716384 1253672 1432768 2507344 2865536 5014688 10029376 20058752