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1977428268 = 223319963659
BaseRepresentation
bin111010111011101…
…0010100100101100
312002210212202122000
41311313102210230
513022210201033
6524115052300
7100000601664
oct16567224454
95083782560
101977428268
11925230142
124722a1090
132568a34ca
1414a8a11a4
15b8904a13
hex75dd292c

1977428268 has 48 divisors (see below), whose sum is σ = 5396496000. Its totient is φ = 624450384.

The previous prime is 1977428267. The next prime is 1977428281. The reversal of 1977428268 is 8628247791.

It is a happy number.

1977428268 is a `hidden beast` number, since 197 + 7 + 428 + 26 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1977428263) 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 15 ways as a sum of consecutive naturals, for example, 479778 + ... + 483881.

It is an arithmetic number, because the mean of its divisors is an integer number (112427000).

Almost surely, 21977428268 is an apocalyptic number.

1977428268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1977428268 is an abundant number, since it is smaller than the sum of its proper divisors (3419067732).

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

1977428268 is a wasteful number, since it uses less digits than its factorization.

1977428268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963691 (or 963683 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1977428268 is about 44468.2838436565. The cubic root of 1977428268 is about 1255.1633397451.

The spelling of 1977428268 in words is "one billion, nine hundred seventy-seven million, four hundred twenty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 963659 1927318 2890977 3854636 5781954 8672931 11563908 17345862 18309521 26018793 34691724 36619042 52037586 54928563 73238084 104075172 109857126 164785689 219714252 329571378 494357067 659142756 988714134 1977428268