Search a number
-
+
52506700 = 22522337617
BaseRepresentation
bin1100100001001…
…1000001001100
310122210121122121
43020103001030
5101420203300
65113222324
71205204521
oct310230114
9118717577
1052506700
1127703074
12157019a4
13ab5536c
146d8b148
15492281a
hex321304c

52506700 has 72 divisors (see below), whose sum is σ = 122304672. Its totient is φ = 19514880.

The previous prime is 52506697. The next prime is 52506703. The reversal of 52506700 is 760525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52506697) and next prime (52506703).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (52506703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84792 + ... + 85408.

It is an arithmetic number, because the mean of its divisors is an integer number (1698676).

Almost surely, 252506700 is an apocalyptic number.

52506700 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 52506700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152336).

52506700 is an abundant number, since it is smaller than the sum of its proper divisors (69797972).

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

52506700 is a wasteful number, since it uses less digits than its factorization.

52506700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 52506700 is about 7246.1507022694. The cubic root of 52506700 is about 374.4595473961.

The spelling of 52506700 in words is "fifty-two million, five hundred six thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 74 92 100 115 148 185 230 370 460 575 617 740 851 925 1150 1234 1702 1850 2300 2468 3085 3404 3700 4255 6170 8510 12340 14191 15425 17020 21275 22829 28382 30850 42550 45658 56764 61700 70955 85100 91316 114145 141910 228290 283820 354775 456580 525067 570725 709550 1050134 1141450 1419100 2100268 2282900 2625335 5250670 10501340 13126675 26253350 52506700