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52842496 = 21271997
BaseRepresentation
bin1100100110010…
…1000000000000
310200102200021111
43021211000000
5102011424441
65124333104
71211103520
oct311450000
9120380244
1052842496
1127912393
1215844194
13ac42165
147037680
15498c081
hex3265000

52842496 has 104 divisors (see below), whose sum is σ = 128434880. Its totient is φ = 21233664.

The previous prime is 52842487. The next prime is 52842499. The reversal of 52842496 is 69424825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52842499) by changing a digit.

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, 544720 + ... + 544816.

Almost surely, 252842496 is an apocalyptic number.

52842496 is a gapful number since it is divisible by the number (56) 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 52842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64217440).

52842496 is an abundant number, since it is smaller than the sum of its proper divisors (75592384).

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

52842496 is an equidigital number, since it uses as much as digits as its factorization.

52842496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 52842496 is about 7269.2844214544. The cubic root of 52842496 is about 375.2561118596.

The spelling of 52842496 in words is "fifty-two million, eight hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 97 112 128 133 152 194 224 256 266 304 388 448 512 532 608 679 776 896 1024 1064 1216 1358 1552 1792 1843 2048 2128 2432 2716 3104 3584 3686 4096 4256 4864 5432 6208 7168 7372 8512 9728 10864 12416 12901 14336 14744 17024 19456 21728 24832 25802 28672 29488 34048 38912 43456 49664 51604 58976 68096 77824 86912 99328 103208 117952 136192 173824 198656 206416 235904 272384 347648 397312 412832 471808 544768 695296 825664 943616 1390592 1651328 1887232 2781184 3302656 3774464 6605312 7548928 13210624 26421248 52842496