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2992551952 = 241324126993
BaseRepresentation
bin1011001001011110…
…1011100000010000
321201120000101112111
42302113223200100
522112043130302
61212540435104
7134105162155
oct26227534020
97646011474
102992551952
1112a6243635
126b6248a94
13388ca7400
1420562822c
15127ac20d7
hexb25eb810

2992551952 has 60 divisors (see below), whose sum is σ = 6431752404. Its totient is φ = 1347440640.

The previous prime is 2992551937. The next prime is 2992551953. The reversal of 2992551952 is 2591552992.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2001309696 + 991242256 = 44736^2 + 31484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2992551896 and 2992551905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992551953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97368 + ... + 124360.

Almost surely, 22992551952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992551952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215876202).

2992551952 is an abundant number, since it is smaller than the sum of its proper divisors (3439200452).

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

2992551952 is a wasteful number, since it uses less digits than its factorization.

2992551952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27068 (or 27049 counting only the distinct ones).

The product of its digits is 729000, while the sum is 49.

The square root of 2992551952 is about 54704.2224330079. Note that the first 3 decimals coincide. The cubic root of 2992551952 is about 1441.0550318716.

The spelling of 2992551952 in words is "two billion, nine hundred ninety-two million, five hundred fifty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 169 208 328 338 533 656 676 1066 1352 2132 2704 4264 6929 8528 13858 26993 27716 53986 55432 107972 110864 215944 350909 431888 701818 1106713 1403636 2213426 2807272 4426852 4561817 5614544 8853704 9123634 14387269 17707408 18247268 28774538 36494536 57549076 72989072 115098152 187034497 230196304 374068994 748137988 1496275976 2992551952