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4940557056 = 283213116369
BaseRepresentation
bin1001001100111101…
…01110101100000000
3110202022112022011200
410212132232230000
540104240311211
62134125141200
7233301020301
oct44636565400
913668468150
104940557056
1121058a7706
12b5a6ba800
13609748356
1434c22a7a8
151ddb13b56
hex1267aeb00

4940557056 has 108 divisors (see below), whose sum is σ = 14354460120. Its totient is φ = 1634181120.

The previous prime is 4940557007. The next prime is 4940557103. The reversal of 4940557056 is 6507550494.

4940557056 is a `hidden beast` number, since 4 + 9 + 40 + 557 + 0 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293640 + ... + 310008.

Almost surely, 24940557056 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 4940557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177230060).

4940557056 is an abundant number, since it is smaller than the sum of its proper divisors (9413903064).

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

4940557056 is a wasteful number, since it uses less digits than its factorization.

4940557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16522 (or 16505 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 4940557056 is about 70289.0962810022. The cubic root of 4940557056 is about 1703.1725136529.

The spelling of 4940557056 in words is "four billion, nine hundred forty million, five hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 192 256 262 288 384 393 524 576 768 786 1048 1152 1179 1572 2096 2304 2358 3144 4192 4716 6288 8384 9432 12576 16369 16768 18864 25152 32738 33536 37728 49107 50304 65476 75456 98214 100608 130952 147321 150912 196428 261904 294642 301824 392856 523808 589284 785712 1047616 1178568 1571424 2095232 2144339 2357136 3142848 4190464 4288678 4714272 6285696 6433017 8577356 9428544 12571392 12866034 17154712 18857088 19299051 25732068 34309424 37714176 38598102 51464136 68618848 77196204 102928272 137237696 154392408 205856544 274475392 308784816 411713088 548950784 617569632 823426176 1235139264 1646852352 2470278528 4940557056