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269628480 = 26335112837
BaseRepresentation
bin10000000100100…
…011010001000000
3200210100112202000
4100010203101000
51023011102410
642431024000
76452542602
oct2004432100
9623315660
10269628480
1112921a960
127636b000
1343b259a4
1427b49172
1518a0edc0
hex10123440

269628480 has 224 divisors, whose sum is σ = 1038026880. Its totient is φ = 65341440.

The previous prime is 269628451. The next prime is 269628481. The reversal of 269628480 is 84826962.

It is a super-2 number, since 2×2696284802 = 145399034454220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (269628481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93622 + ... + 96458.

Almost surely, 2269628480 is an apocalyptic number.

269628480 is a gapful number since it is divisible by the number (20) 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 269628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519013440).

269628480 is an abundant number, since it is smaller than the sum of its proper divisors (768398400).

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

269628480 is a wasteful number, since it uses less digits than its factorization.

269628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 269628480 is about 16420.3678399724. The cubic root of 269628480 is about 646.0338207203.

The spelling of 269628480 in words is "two hundred sixty-nine million, six hundred twenty-eight thousand, four hundred eighty".