Search a number
-
+
1769969952 = 25326145729
BaseRepresentation
bin110100101111111…
…1001100100100000
311120100111210022200
41221133321210200
512111103014302
6451344333200
761601332152
oct15137714440
94510453280
101769969952
11829113693
12414914200
132229074ca
1412b0daad2
15a55c581c
hex697f9920

1769969952 has 36 divisors (see below), whose sum is σ = 5033352870. Its totient is φ = 589989888.

The previous prime is 1769969939. The next prime is 1769969953. The reversal of 1769969952 is 2599699671.

It can be written as a sum of positive squares in only one way, i.e., 1767025296 + 2944656 = 42036^2 + 1716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1769969952.

It is not an unprimeable number, because it can be changed into a prime (1769969953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3072577 + ... + 3073152.

Almost surely, 21769969952 is an apocalyptic number.

1769969952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1769969952 is an abundant number, since it is smaller than the sum of its proper divisors (3263382918).

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

1769969952 is a wasteful number, since it uses less digits than its factorization.

1769969952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145745 (or 6145734 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 63.

The square root of 1769969952 is about 42071.0108269340. The cubic root of 1769969952 is about 1209.6376557732.

The spelling of 1769969952 in words is "one billion, seven hundred sixty-nine million, nine hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 6145729 12291458 18437187 24582916 36874374 49165832 55311561 73748748 98331664 110623122 147497496 196663328 221246244 294994992 442492488 589989984 884984976 1769969952