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52028984 = 237367283
BaseRepresentation
bin1100011001111…
…0011000111000
310121220100100102
43012132120320
5101304411414
65055054532
71201145000
oct306363070
9117810312
1052028984
1127407167
1215511448
13aa18aa7
146ca5000
15487aede
hex319e638

52028984 has 64 divisors (see below), whose sum is σ = 115872000. Its totient is φ = 21887712.

The previous prime is 52028983. The next prime is 52028989. The reversal of 52028984 is 48982025.

52028984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52028981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183707 + ... + 183989.

It is an arithmetic number, because the mean of its divisors is an integer number (1810500).

Almost surely, 252028984 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 52028984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936000).

52028984 is an abundant number, since it is smaller than the sum of its proper divisors (63843016).

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

52028984 is a wasteful number, since it uses less digits than its factorization.

52028984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 52028984 is about 7213.1119497759. Note that the first 3 decimals coincide. The cubic root of 52028984 is about 373.3204509444.

The spelling of 52028984 in words is "fifty-two million, twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 283 343 392 469 536 566 686 938 1132 1372 1876 1981 2264 2744 3283 3752 3962 6566 7924 13132 13867 15848 18961 22981 26264 27734 37922 45962 55468 75844 91924 97069 110936 132727 151688 183848 194138 265454 388276 530908 776552 929089 1061816 1858178 3716356 6503623 7432712 13007246 26014492 52028984