Search a number
-
+
1977400392 = 2331121096247
BaseRepresentation
bin111010111011100…
…1011110001001000
312002210211100101120
41311313023301020
513022203303032
6524114315240
7100000424502
oct16567136110
95083740346
101977400392
11925211200
12472288b20
13256893906
1414a894d72
15b88eb62c
hex75dcbc48

1977400392 has 96 divisors (see below), whose sum is σ = 5484494400. Its totient is φ = 593619840.

The previous prime is 1977400391. The next prime is 1977400429. The reversal of 1977400392 is 2930047791.

It is a super-2 number, since 2×19774003922 = 7820224620563507328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1977400391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313413 + ... + 319659.

It is an arithmetic number, because the mean of its divisors is an integer number (57130150).

Almost surely, 21977400392 is an apocalyptic number.

1977400392 is a gapful number since it is divisible by the number (12) 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 1977400392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742247200).

1977400392 is an abundant number, since it is smaller than the sum of its proper divisors (3507094008).

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

1977400392 is a wasteful number, since it uses less digits than its factorization.

1977400392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 1977400392 is about 44467.9704056751. The cubic root of 1977400392 is about 1255.1574416638.

The spelling of 1977400392 in words is "one billion, nine hundred seventy-seven million, four hundred thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 121 132 218 242 264 327 363 436 484 654 726 872 968 1199 1308 1452 2398 2616 2904 3597 4796 6247 7194 9592 12494 13189 14388 18741 24988 26378 28776 37482 39567 49976 52756 68717 74964 79134 105512 137434 149928 158268 206151 274868 316536 412302 549736 680923 755887 824604 1361846 1511774 1649208 2042769 2267661 2723692 3023548 4085538 4535322 5447384 6047096 7490153 8171076 9070644 14980306 16342152 18141288 22470459 29960612 44940918 59921224 82391683 89881836 164783366 179763672 247175049 329566732 494350098 659133464 988700196 1977400392