Search a number
-
+
245876448 = 2534795347
BaseRepresentation
bin11101010011111…
…00011011100000
3122010122211002010
432221330123200
51000421021243
640221552520
76043625646
oct1651743340
9563584063
10245876448
11116877684
126a415740
133bc2a82c
1424925196
15168bc433
hexea7c6e0

245876448 has 48 divisors (see below), whose sum is σ = 646894080. Its totient is φ = 81772416.

The previous prime is 245876447. The next prime is 245876453. The reversal of 245876448 is 844678542.

245876448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 245876397 and 245876406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245876443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43311 + ... + 48657.

It is an arithmetic number, because the mean of its divisors is an integer number (13476960).

Almost surely, 2245876448 is an apocalyptic number.

It is an amenable number.

245876448 is an abundant number, since it is smaller than the sum of its proper divisors (401017632).

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

245876448 is a wasteful number, since it uses less digits than its factorization.

245876448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5831 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The square root of 245876448 is about 15680.4479527850. The cubic root of 245876448 is about 626.4777389332.

Subtracting from 245876448 its sum of digits (48), we obtain a triangular number (245876400 = T22175).

The spelling of 245876448 in words is "two hundred forty-five million, eight hundred seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 479 958 1437 1916 2874 3832 5347 5748 7664 10694 11496 15328 16041 21388 22992 32082 42776 45984 64164 85552 128328 171104 256656 513312 2561213 5122426 7683639 10244852 15367278 20489704 30734556 40979408 61469112 81958816 122938224 245876448