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2948090145 = 357311134007
BaseRepresentation
bin1010111110111000…
…0100100100100001
321121110100111101220
42233232010210201
522014202341040
61204311445253
7133025232000
oct25756044441
97543314356
102948090145
111283135840
126a3386829
1337ca0aa50
141dd772c37
15123c3d2d0
hexafb84921

2948090145 has 128 divisors (see below), whose sum is σ = 6464102400. Its totient is φ = 1130653440.

The previous prime is 2948090143. The next prime is 2948090203. The reversal of 2948090145 is 5410908492.

It is not a de Polignac number, because 2948090145 - 21 = 2948090143 is a prime.

It is a super-2 number, since 2×29480901452 = 17382471006092242050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2948090097 and 2948090106.

It is not an unprimeable number, because it can be changed into a prime (2948090143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 733732 + ... + 737738.

It is an arithmetic number, because the mean of its divisors is an integer number (50500800).

Almost surely, 22948090145 is an apocalyptic number.

It is an amenable number.

2948090145 is an abundant number, since it is smaller than the sum of its proper divisors (3516012255).

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

2948090145 is a wasteful number, since it uses less digits than its factorization.

2948090145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 2948090145 is about 54296.3179690852. The cubic root of 2948090145 is about 1433.8825724859.

The spelling of 2948090145 in words is "two billion, nine hundred forty-eight million, ninety thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 143 147 165 195 231 245 273 343 385 429 455 539 637 715 735 1001 1029 1155 1365 1617 1715 1911 2145 2695 3003 3185 3773 4007 4459 5005 5145 7007 8085 9555 11319 12021 13377 15015 18865 20035 21021 22295 28049 35035 44077 49049 52091 56595 60105 66885 84147 105105 132231 140245 147147 156273 196343 220385 245245 260455 308539 364637 420735 573001 589029 661155 735735 781365 925617 981715 1093911 1374401 1542695 1719003 1823185 2159773 2552459 2865005 2945145 4011007 4123203 4628085 5469555 6479319 6872005 7657377 8595015 10798865 12033021 12762295 15118411 17867213 20055035 20616015 28077049 32396595 38286885 45355233 53601639 60165105 75592055 84231147 89336065 140385245 196539343 226776165 268008195 421155735 589618029 982696715 2948090145