Search a number
-
+
2380399252 = 2271159313033
BaseRepresentation
bin1000110111100010…
…0000001010010100
320010220010210220021
42031320200022110
514333340234002
61032112114524
7112663026340
oct21570401224
96126123807
102380399252
111011745210
12565235a44
132bc21518a
141881da620
15ddea3737
hex8de20294

2380399252 has 48 divisors (see below), whose sum is σ = 5202755712. Its totient is φ = 925793280.

The previous prime is 2380399187. The next prime is 2380399261. The reversal of 2380399252 is 2529930832.

It is a junction number, because it is equal to n+sod(n) for n = 2380399199 and 2380399208.

It is a congruent number.

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, 176128 + ... + 189160.

It is an arithmetic number, because the mean of its divisors is an integer number (108390744).

Almost surely, 22380399252 is an apocalyptic number.

2380399252 is a gapful number since it is divisible by the number (22) 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 2380399252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601377856).

2380399252 is an abundant number, since it is smaller than the sum of its proper divisors (2822356460).

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

2380399252 is a wasteful number, since it uses less digits than its factorization.

2380399252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648 (or 13646 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 2380399252 is about 48789.3354330636. The cubic root of 2380399252 is about 1335.2111028836.

The spelling of 2380399252 in words is "two billion, three hundred eighty million, three hundred ninety-nine thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 593 1186 2372 4151 6523 8302 13033 13046 16604 26066 26092 45661 52132 91231 91322 143363 182462 182644 286726 364924 573452 1003541 2007082 4014164 7728569 15457138 30914276 54099983 85014259 108199966 170028518 216399932 340057036 595099813 1190199626 2380399252