Search a number
-
+
52042008 = 23323293251
BaseRepresentation
bin1100011010000…
…1100100011000
310121221000012210
43012201210120
5101310321013
65055235120
71201230654
oct306414430
9117830183
1052042008
1127415a27
1215518aa0
13aa219b5
146ca9a64
15487ecc3
hex31a1918

52042008 has 64 divisors (see below), whose sum is σ = 140486400. Its totient is φ = 16016000.

The previous prime is 52041991. The next prime is 52042009. The reversal of 52042008 is 80024025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52042009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14383 + ... + 17633.

It is an arithmetic number, because the mean of its divisors is an integer number (2195100).

Almost surely, 252042008 is an apocalyptic number.

52042008 is a gapful number since it is divisible by the number (58) 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 52042008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70243200).

52042008 is an abundant number, since it is smaller than the sum of its proper divisors (88444392).

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

52042008 is a wasteful number, since it uses less digits than its factorization.

52042008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 52042008 is about 7214.0146936363. The cubic root of 52042008 is about 373.3515984544.

The spelling of 52042008 in words is "fifty-two million, forty-two thousand, eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 3251 4002 5336 6502 8004 9753 13004 16008 19506 26008 39012 74773 78024 94279 149546 188558 224319 282837 299092 377116 448638 565674 598184 754232 897276 1131348 1794552 2168417 2262696 4336834 6505251 8673668 13010502 17347336 26021004 52042008