Search a number
-
+
2930506656 = 253711396443
BaseRepresentation
bin1010111010101011…
…1111101110100000
321120020021011101120
42232222333232200
522000202203111
61202442532240
7132422616120
oct25652775640
97506234346
102930506656
111274216030
12699507080
1337919250c
141db2b6c80
15122418406
hexaeabfba0

2930506656 has 96 divisors (see below), whose sum is σ = 9590773248. Its totient is φ = 761168640.

The previous prime is 2930506643. The next prime is 2930506669. The reversal of 2930506656 is 6566050392.

It is an interprime number because it is at equal distance from previous prime (2930506643) and next prime (2930506669).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190830 + ... + 205613.

It is an arithmetic number, because the mean of its divisors is an integer number (99903888).

Almost surely, 22930506656 is an apocalyptic number.

It is an amenable number.

2930506656 is an abundant number, since it is smaller than the sum of its proper divisors (6660266592).

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

2930506656 is a wasteful number, since it uses less digits than its factorization.

2930506656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396474 (or 396466 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 2930506656 is about 54134.1542466491. The cubic root of 2930506656 is about 1431.0261524764.

The spelling of 2930506656 in words is "two billion, nine hundred thirty million, five hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 396443 792886 1189329 1585772 2378658 2775101 3171544 4360873 4757316 5550202 6343088 8325303 8721746 9514632 11100404 12686176 13082619 16650606 17443492 19029264 22200808 26165238 30526111 33301212 34886984 38058528 44401616 52330476 61052222 66602424 69773968 88803232 91578333 104660952 122104444 133204848 139547936 183156666 209321904 244208888 266409696 366313332 418643808 488417776 732626664 976835552 1465253328 2930506656