Search a number
-
+
4077028998 = 233779311439
BaseRepresentation
bin1111001100000010…
…1000011010000110
3101112010122112101000
43303000220122012
531322204411443
61512320514130
7203014113630
oct36300503206
911463575330
104077028998
111802416259
1295947b946
134cc8816c3
142a9685a50
1518cddd8d3
hexf3028686

4077028998 has 128 divisors (see below), whose sum is σ = 10543104000. Its totient is φ = 1143810720.

The previous prime is 4077028981. The next prime is 4077029069. The reversal of 4077028998 is 8998207704.

4077028998 is a `hidden beast` number, since 407 + 70 + 2 + 89 + 98 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9286863 + ... + 9287301.

It is an arithmetic number, because the mean of its divisors is an integer number (82368000).

Almost surely, 24077028998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077028998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271552000).

4077028998 is an abundant number, since it is smaller than the sum of its proper divisors (6466075002).

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

4077028998 is a wasteful number, since it uses less digits than its factorization.

4077028998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 4077028998 is about 63851.6170351229. The cubic root of 4077028998 is about 1597.5259939785.

The spelling of 4077028998 in words is "four billion, seventy-seven million, twenty-eight thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 311 378 439 474 553 622 711 878 933 1106 1317 1422 1659 1866 2133 2177 2634 2799 3073 3318 3951 4266 4354 4977 5598 6146 6531 7902 8397 9219 9954 11853 13062 14931 16794 18438 19593 23706 24569 27657 29862 34681 39186 49138 55314 58779 69362 73707 82971 104043 117558 136529 147414 165942 171983 208086 221121 242767 273058 312129 343966 409587 442242 485534 515949 624258 663363 728301 819174 936387 955703 1031898 1228761 1326726 1456602 1547847 1872774 1911406 2184903 2457522 2867109 3095694 3686283 4369806 4643541 5734218 6554709 7372566 8601327 9287082 10785791 13109418 17202654 21571582 25803981 32357373 51607962 64714746 75500537 97072119 151001074 194144238 226501611 291216357 453003222 582432714 679504833 1359009666 2038514499 4077028998