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1448259136 = 26672712
BaseRepresentation
bin101011001010010…
…1010111001000000
310201221011012001021
41112110222321000
510431223243021
6355413115224
750613666562
oct12624527100
93657135037
101448259136
11683560585
12345028b14
131a107768c
14da4b5332
1587228c41
hex5652ae40

1448259136 has 63 divisors (see below), whose sum is σ = 2959092507. Its totient is φ = 703274880.

The previous prime is 1448259089. The next prime is 1448259139. The reversal of 1448259136 is 6319528441.

The square root of 1448259136 is 38056.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (207360) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1448259092 and 1448259101.

It is not an unprimeable number, because it can be changed into a prime (1448259139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20397981 + ... + 20398051.

Almost surely, 21448259136 is an apocalyptic number.

1448259136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1448259136 is the 38056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1448259136

1448259136 is an abundant number, since it is smaller than the sum of its proper divisors (1510833371).

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

1448259136 is an frugal number, since it uses more digits than its factorization.

1448259136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 140 counting only the distinct ones).

The product of its digits is 207360, while the sum is 43.

The cubic root of 1448259136 is about 1131.3980492784.

The spelling of 1448259136 in words is "one billion, four hundred forty-eight million, two hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 67 71 134 142 268 284 536 568 1072 1136 2144 2272 4288 4489 4544 4757 5041 8978 9514 10082 17956 19028 20164 35912 38056 40328 71824 76112 80656 143648 152224 161312 287296 304448 318719 322624 337747 637438 675494 1274876 1350988 2549752 2701976 5099504 5403952 10199008 10807904 20398016 21615808 22629049 45258098 90516196 181032392 362064784 724129568 1448259136