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1004012892 = 2232151191967
BaseRepresentation
bin111011110110000…
…000010101011100
32120222020010202200
4323312000111130
54024011403032
6243343251500
733610653201
oct7366002534
92528203680
101004012892
11475814823
122402a9b90
1313001388c
14974b3ca8
155d22547c
hex3bd8055c

1004012892 has 72 divisors (see below), whose sum is σ = 2570760192. Its totient is φ = 330372000.

The previous prime is 1004012887. The next prime is 1004012897. The reversal of 1004012892 is 2982104001.

1004012892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1004012887) and next prime (1004012897).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004012897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1037793 + ... + 1038759.

Almost surely, 21004012892 is an apocalyptic number.

1004012892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004012892 is an abundant number, since it is smaller than the sum of its proper divisors (1566747300).

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

1004012892 is a wasteful number, since it uses less digits than its factorization.

1004012892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1004012892 is about 31686.1624688128. The cubic root of 1004012892 is about 1001.3358453892.

Adding to 1004012892 its reverse (2982104001), we get a palindrome (3986116893).

The spelling of 1004012892 in words is "one billion, four million, twelve thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 151 191 302 382 453 573 604 764 906 967 1146 1359 1719 1812 1934 2292 2718 2901 3438 3868 5436 5802 6876 8703 11604 17406 28841 34812 57682 86523 115364 146017 173046 184697 259569 292034 346092 369394 438051 519138 554091 584068 738788 876102 1038276 1108182 1314153 1662273 1752204 2216364 2628306 3324546 5256612 6649092 27889247 55778494 83667741 111556988 167335482 251003223 334670964 502006446 1004012892