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253755392 = 221112
BaseRepresentation
bin11110010000000…
…00000000000000
3122200111002221212
433020000000000
51004430133032
641102505252
76200612432
oct1710000000
9580432855
10253755392
11120269200
1270b95228
1340758b27
14259b6652
1517426bb2
hexf200000

253755392 has 66 divisors (see below), whose sum is σ = 557842299. Its totient is φ = 115343360.

The previous prime is 253755391. The next prime is 253755419. The reversal of 253755392 is 293557352.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 126877696 + 126877696 = 11264^2 + 11264^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11264.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (253755391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 23068667 + ... + 23068677.

Almost surely, 2253755392 is an apocalyptic number.

253755392 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 253755392

253755392 is an abundant number, since it is smaller than the sum of its proper divisors (304086907).

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

253755392 is an frugal number, since it uses more digits than its factorization.

253755392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 13 counting only the distinct ones).

The product of its digits is 283500, while the sum is 41.

The square root of 253755392 is about 15929.7015665705. The cubic root of 253755392 is about 633.0991927358.

The spelling of 253755392 in words is "two hundred fifty-three million, seven hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5632 7744 8192 11264 15488 16384 22528 30976 32768 45056 61952 65536 90112 123904 131072 180224 247808 262144 360448 495616 524288 720896 991232 1048576 1441792 1982464 2097152 2883584 3964928 5767168 7929856 11534336 15859712 23068672 31719424 63438848 126877696 253755392