Search a number
-
+
1001912409 = 3435172
BaseRepresentation
bin111011101101111…
…111100001011001
32120211021102110000
4323231333201121
54022442144114
6243230243213
733554054301
oct7355774131
92524242400
101001912409
1147460a693
1223b656509
1312c7597a4
14970c8601
155ce5ce09
hex3bb7f859

1001912409 has 15 divisors (see below), whose sum is σ = 1497109647. Its totient is φ = 667751688.

The previous prime is 1001912363. The next prime is 1001912411. The reversal of 1001912409 is 9042191001.

The square root of 1001912409 is 31653.

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

It can be written as a sum of positive squares in only one way, i.e., 961310025 + 40602384 = 31005^2 + 6372^2 .

It is a de Polignac number, because none of the positive numbers 2k-1001912409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1001912479) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 283119 + ... + 286635.

Almost surely, 21001912409 is an apocalyptic number.

1001912409 is the 31653-rd square number.

1001912409 is the 15827-th centered octagonal number.

It is an amenable number.

1001912409 is a deficient number, since it is larger than the sum of its proper divisors (495197238).

1001912409 is an frugal number, since it uses more digits than its factorization.

1001912409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7046 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The cubic root of 1001912409 is about 1000.6370637303.

The spelling of 1001912409 in words is "one billion, one million, nine hundred twelve thousand, four hundred nine".

Divisors: 1 3 9 27 81 3517 10551 31653 94959 284877 12369289 37107867 111323601 333970803 1001912409