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1052985738 = 237192371877
BaseRepresentation
bin111110110000110…
…100100110001010
32201101101012212210
4332300310212022
54124031020423
6252253045550
735044142160
oct7660644612
92641335783
101052985738
114a0423852
122547868b6
1313a1cc5ac
149dbc1230
156269ab93
hex3ec3498a

1052985738 has 96 divisors (see below), whose sum is σ = 2610209664. Its totient is φ = 277167744.

The previous prime is 1052985691. The next prime is 1052985751. The reversal of 1052985738 is 8375892501.

1052985738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10529857382 = 2217557928862809288, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560056 + ... + 561932.

It is an arithmetic number, because the mean of its divisors is an integer number (27189684).

Almost surely, 21052985738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052985738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305104832).

1052985738 is an abundant number, since it is smaller than the sum of its proper divisors (1557223926).

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

1052985738 is a wasteful number, since it uses less digits than its factorization.

1052985738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 1052985738 is about 32449.7417247041. The cubic root of 1052985738 is about 1017.3588397726.

The spelling of 1052985738 in words is "one billion, fifty-two million, nine hundred eighty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 111 114 133 222 259 266 361 399 518 703 722 777 798 1083 1406 1554 1877 2109 2166 2527 3754 4218 4921 5054 5631 7581 9842 11262 13139 13357 14763 15162 26278 26714 29526 35663 39417 40071 69449 71326 78834 80142 93499 106989 138898 186998 208347 213978 249641 280497 416694 486143 499282 560994 677597 748923 972286 1319531 1355194 1458429 1497846 2032791 2639062 2916858 3958593 4065582 4743179 7917186 9236717 9486358 14229537 18473434 25071089 27710151 28459074 50142178 55420302 75213267 150426534 175497623 350995246 526492869 1052985738