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1242861776 = 241397229269
BaseRepresentation
bin100101000010100…
…1001000011010000
310012121122220211122
41022011021003100
510021133034101
6323154501412
742541102502
oct11205110320
93177586748
101242861776
115886214a2
122a8294868
1316a650790
14bb0c9d72
15741a551b
hex4a1490d0

1242861776 has 80 divisors (see below), whose sum is σ = 2641237200. Its totient is φ = 563134464.

The previous prime is 1242861761. The next prime is 1242861793. The reversal of 1242861776 is 6771682421.

It can be written as a sum of positive squares in 8 ways, for example, as 61152400 + 1181709376 = 7820^2 + 34376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4620170 + ... + 4620438.

It is an arithmetic number, because the mean of its divisors is an integer number (33015465).

Almost surely, 21242861776 is an apocalyptic number.

1242861776 is a gapful number since it is divisible by the number (16) 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 1242861776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320618600).

1242861776 is an abundant number, since it is smaller than the sum of its proper divisors (1398375424).

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

1242861776 is a wasteful number, since it uses less digits than its factorization.

1242861776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 1242861776 is about 35254.2447940670. The cubic root of 1242861776 is about 1075.1629177277.

The spelling of 1242861776 in words is "one billion, two hundred forty-two million, eight hundred sixty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 229 269 388 458 538 776 916 1076 1261 1552 1832 2152 2522 2977 3497 3664 4304 5044 5954 6994 10088 11908 13988 20176 22213 23816 26093 27976 44426 47632 52186 55952 61601 88852 104372 123202 177704 208744 246404 288769 339209 355408 417488 492808 577538 678418 800813 985616 1155076 1356836 1601626 2310152 2713672 3203252 4620304 5427344 5975297 6406504 11950594 12813008 23901188 47802376 77678861 95604752 155357722 310715444 621430888 1242861776