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2949130040 = 23579933269
BaseRepresentation
bin1010111111001000…
…0010011100111000
321121112022022212112
42233302002130320
522014434130130
61204350031452
7133040122523
oct25762023470
97545268775
102949130040
11128378605a
126a37a8588
1337ccb317c
141dd963bba
15123d96495
hexafc82738

2949130040 has 32 divisors (see below), whose sum is σ = 6719544000. Its totient is φ = 1164718464.

The previous prime is 2949130027. The next prime is 2949130111. The reversal of 2949130040 is 400319492.

It is a happy number.

2949130040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2949129979 and 2949130006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463475 + ... + 469794.

It is an arithmetic number, because the mean of its divisors is an integer number (209985750).

Almost surely, 22949130040 is an apocalyptic number.

2949130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2949130040 is an abundant number, since it is smaller than the sum of its proper divisors (3770413960).

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

2949130040 is a wasteful number, since it uses less digits than its factorization.

2949130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933359 (or 933355 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 2949130040 is about 54305.8932345284. The cubic root of 2949130040 is about 1434.0511462584.

The spelling of 2949130040 in words is "two billion, nine hundred forty-nine million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 933269 1866538 3733076 4666345 7466152 9332690 18665380 37330760 73728251 147456502 294913004 368641255 589826008 737282510 1474565020 2949130040