Search a number
-
+
977128412 = 2213233771311
BaseRepresentation
bin111010001111011…
…100101111011100
32112002122021012012
4322033130233130
54000121102122
6240543130352
733133311611
oct7217345734
92462567165
10977128412
11461622047
122332a39b8
1312758c9c0
1493ab6508
155abb47e2
hex3a3dcbdc

977128412 has 96 divisors (see below), whose sum is σ = 2007742464. Its totient is φ = 412473600.

The previous prime is 977128391. The next prime is 977128421. The reversal of 977128412 is 214821779.

It is a self number, because there is not a number n which added to its sum of digits gives 977128412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3141737 + ... + 3142047.

It is an arithmetic number, because the mean of its divisors is an integer number (20913984).

Almost surely, 2977128412 is an apocalyptic number.

977128412 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

977128412 is an abundant number, since it is smaller than the sum of its proper divisors (1030614052).

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

977128412 is a wasteful number, since it uses less digits than its factorization.

977128412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its digits is 56448, while the sum is 41.

The square root of 977128412 is about 31259.0532806098. The cubic root of 977128412 is about 992.3172640582.

It can be divided in two parts, 9771 and 28412, that added together give a palindrome (38183).

The spelling of 977128412 in words is "nine hundred seventy-seven million, one hundred twenty-eight thousand, four hundred twelve".

Divisors: 1 2 4 13 23 26 37 46 52 71 74 92 142 148 284 299 311 481 598 622 851 923 962 1196 1244 1633 1702 1846 1924 2627 3266 3404 3692 4043 5254 6532 7153 8086 10508 11063 11507 14306 16172 21229 22081 22126 23014 28612 34151 42458 44162 44252 46028 60421 68302 84916 88324 92989 120842 136604 149591 185978 241684 264661 287053 299182 371956 507863 529322 574106 598364 785473 816997 1015726 1058644 1148212 1570946 1633994 2031452 3141892 3267988 3440593 6602219 6881186 10620961 13204438 13762372 18790931 21241922 26408876 37581862 42483844 75163724 244282103 488564206 977128412