Search a number
-
+
1977195328 = 26191918513
BaseRepresentation
bin111010111011001…
…1001101101000000
312002210102221002121
41311312121231000
513022130222303
6524110054024
766665611603
oct16566315500
95083387077
101977195328
11925091129
124721aa314
13256821484
1414a84033a
15b88aa9bd
hex75d99b40

1977195328 has 56 divisors (see below), whose sum is σ = 4152107520. Its totient is φ = 931553280.

The previous prime is 1977195323. The next prime is 1977195349. The reversal of 1977195328 is 8235917791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1977195323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228000 + ... + 236512.

Almost surely, 21977195328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076053760).

1977195328 is an abundant number, since it is smaller than the sum of its proper divisors (2174912192).

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

1977195328 is a wasteful number, since it uses less digits than its factorization.

1977195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735 (or 8725 counting only the distinct ones).

The product of its digits is 952560, while the sum is 52.

The square root of 1977195328 is about 44465.6645964052. The cubic root of 1977195328 is about 1255.1140519513.

The spelling of 1977195328 in words is "one billion, nine hundred seventy-seven million, one hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 191 304 382 608 764 1216 1528 3056 3629 6112 7258 8513 12224 14516 17026 29032 34052 58064 68104 116128 136208 161747 232256 272416 323494 544832 646988 1293976 1625983 2587952 3251966 5175904 6503932 10351808 13007864 26015728 30893677 52031456 61787354 104062912 123574708 247149416 494298832 988597664 1977195328