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2992557393 = 387232833
BaseRepresentation
bin1011001001011110…
…1100110101010001
321201120000200000000
42302113230311101
522112043314033
61212540520213
7134105214060
oct26227546521
97646020000
102992557393
1112a6247731
126b6250069
13388ca9a27
1420562a1d7
15127ac3a13
hexb25ecd51

2992557393 has 72 divisors (see below), whose sum is σ = 5354763648. Its totient is φ = 1635106176.

The previous prime is 2992557383. The next prime is 2992557409. The reversal of 2992557393 is 3937552992.

It is a happy number.

It is not a de Polignac number, because 2992557393 - 24 = 2992557377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2992557343) 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 71 ways as a sum of consecutive naturals, for example, 1054905 + ... + 1057737.

Almost surely, 22992557393 is an apocalyptic number.

2992557393 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2992557393 is a deficient number, since it is larger than the sum of its proper divisors (2362206255).

2992557393 is an frugal number, since it uses more digits than its factorization.

2992557393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2866 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 54.

The square root of 2992557393 is about 54704.2721640641. The cubic root of 2992557393 is about 1441.0559052372.

The spelling of 2992557393 in words is "two billion, nine hundred ninety-two million, five hundred fifty-seven thousand, three hundred ninety-three".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 243 483 567 621 729 1449 1701 1863 2187 2833 4347 5103 5589 6561 8499 13041 15309 16767 19831 25497 39123 45927 50301 59493 65159 76491 117369 150903 178479 195477 229473 352107 456113 535437 586431 688419 1056321 1368339 1606311 1759293 2065257 4105017 4818933 5277879 6195771 12315051 14456799 15833637 18587313 36945153 43370397 47500911 110835459 130111191 142502733 332506377 427508199 997519131 2992557393