Search a number
-
+
52541500 = 22531141233
BaseRepresentation
bin1100100001101…
…1100000111100
310122212101101111
43020123200330
5101422312000
65114051404
71205411134
oct310334074
9118771344
1052541500
1127727230
1215719b64
13ab6815b
146d99ac4
15492ccba
hex321b83c

52541500 has 96 divisors (see below), whose sum is σ = 128786112. Its totient is φ = 18560000.

The previous prime is 52541431. The next prime is 52541501. The reversal of 52541500 is 514525.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52541501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225384 + ... + 225616.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522).

Almost surely, 252541500 is an apocalyptic number.

52541500 is a gapful number since it is divisible by the number (50) 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 52541500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056).

52541500 is an abundant number, since it is smaller than the sum of its proper divisors (76244612).

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

52541500 is a wasteful number, since it uses less digits than its factorization.

52541500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 52541500 is about 7248.5515794536. The cubic root of 52541500 is about 374.5422562974.

It can be divided in two parts, 525 and 41500, that added together give a square (42025 = 2052).

The spelling of 52541500 in words is "fifty-two million, five hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 125 164 205 220 233 250 275 410 451 466 500 550 820 902 932 1025 1100 1165 1375 1804 2050 2255 2330 2563 2750 4100 4510 4660 5125 5126 5500 5825 9020 9553 10250 10252 11275 11650 12815 19106 20500 22550 23300 25630 29125 38212 45100 47765 51260 56375 58250 64075 95530 105083 112750 116500 128150 191060 210166 225500 238825 256300 320375 420332 477650 525415 640750 955300 1050830 1194125 1281500 2101660 2388250 2627075 4776500 5254150 10508300 13135375 26270750 52541500