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2955232240 = 245292116037
BaseRepresentation
bin1011000000100101…
…0100001111110000
321121221210100111221
42300021110033300
522023014412430
61205124514424
7133143026302
oct26011241760
97557710457
102955232240
1112871737a4
126a584ba14
1338133b83c
142006b1972
1512469e57a
hexb02543f0

2955232240 has 80 divisors (see below), whose sum is σ = 7142712480. Its totient is φ = 1135733760.

The previous prime is 2955232229. The next prime is 2955232249. The reversal of 2955232240 is 422325592.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2955232196 and 2955232205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2955232249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486502 + ... + 492538.

It is an arithmetic number, because the mean of its divisors is an integer number (89283906).

Almost surely, 22955232240 is an apocalyptic number.

2955232240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2955232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571356240).

2955232240 is an abundant number, since it is smaller than the sum of its proper divisors (4187480240).

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

2955232240 is a wasteful number, since it uses less digits than its factorization.

2955232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 2955232240 is about 54362.0477907152. The cubic root of 2955232240 is about 1435.0395550534.

The spelling of 2955232240 in words is "two billion, nine hundred fifty-five million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 211 232 290 422 464 580 844 1055 1160 1688 2110 2320 3376 4220 6037 6119 8440 12074 12238 16880 24148 24476 30185 30595 48296 48952 60370 61190 96592 97904 120740 122380 175073 241480 244760 350146 482960 489520 700292 875365 1273807 1400584 1750730 2547614 2801168 3501460 5095228 6369035 7002920 10190456 12738070 14005840 20380912 25476140 36940403 50952280 73880806 101904560 147761612 184702015 295523224 369404030 591046448 738808060 1477616120 2955232240