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269948448 = 253272113747
BaseRepresentation
bin10000000101110…
…001011000100000
3200210221210122200
4100011301120200
51023101322243
642441533200
76455344500
oct2005613040
9623853580
10269948448
111294192a0
12764a4200
1343c08513
1427bcda00
1518a74ad3
hex10171620

269948448 has 432 divisors, whose sum is σ = 1021797504. Its totient is φ = 66769920.

The previous prime is 269948417. The next prime is 269948467. The reversal of 269948448 is 844849962.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 269948394 and 269948403.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5743561 + ... + 5743607.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 2269948448 is an apocalyptic number.

269948448 is a gapful number since it is divisible by the number (28) 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 269948448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510898752).

269948448 is an abundant number, since it is smaller than the sum of its proper divisors (751849056).

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

269948448 is a wasteful number, since it uses less digits than its factorization.

269948448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 269948448 is about 16430.1079728649. The cubic root of 269948448 is about 646.2892690516.

The spelling of 269948448 in words is "two hundred sixty-nine million, nine hundred forty-eight thousand, four hundred forty-eight".