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52503984 = 2433139349
BaseRepresentation
bin1100100001001…
…0010110110000
310122210110221000
43020102112300
5101420111414
65113202000
71205163561
oct310222660
9118713830
1052503984
1127701025
1215700300
13ab54060
146d8a168
154921b09
hex32125b0

52503984 has 80 divisors (see below), whose sum is σ = 162316000. Its totient is φ = 16153344.

The previous prime is 52503977. The next prime is 52503991. The reversal of 52503984 is 48930525.

It is an interprime number because it is at equal distance from previous prime (52503977) and next prime (52503991).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942 + ... + 10290.

It is an arithmetic number, because the mean of its divisors is an integer number (2028950).

Almost surely, 252503984 is an apocalyptic number.

52503984 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 52503984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81158000).

52503984 is an abundant number, since it is smaller than the sum of its proper divisors (109812016).

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

52503984 is a wasteful number, since it uses less digits than its factorization.

52503984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9379 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 52503984 is about 7245.9632899981. The cubic root of 52503984 is about 374.4530907619.

The spelling of 52503984 in words is "fifty-two million, five hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 9349 18698 28047 37396 56094 74792 84141 112188 121537 149584 168282 224376 243074 252423 336564 364611 448752 486148 504846 673128 729222 972296 1009692 1093833 1346256 1458444 1944592 2019384 2187666 2916888 3281499 4038768 4375332 5833776 6562998 8750664 13125996 17501328 26251992 52503984