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4990258176 = 21038112003
BaseRepresentation
bin1001010010111000…
…10100110000000000
3110212210001101021220
410221130110300000
540210001230201
62143102315040
7234443331441
oct45134246000
913783041256
104990258176
112130963912
12b73288a80
13616b2a6b7
14354a872c8
151e3180036
hex129714c00

4990258176 has 88 divisors (see below), whose sum is σ = 13323906624. Its totient is φ = 1660538880.

The previous prime is 4990258159. The next prime is 4990258177. The reversal of 4990258176 is 6718520994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4990258177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2490391 + ... + 2492393.

Almost surely, 24990258176 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 4990258176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661953312).

4990258176 is an abundant number, since it is smaller than the sum of its proper divisors (8333648448).

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

4990258176 is a wasteful number, since it uses less digits than its factorization.

4990258176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 4990258176 is about 70641.7594344875. The cubic root of 4990258176 is about 1708.8646723268.

The spelling of 4990258176 in words is "four billion, nine hundred ninety million, two hundred fifty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 811 1024 1536 1622 2003 2433 3072 3244 4006 4866 6009 6488 8012 9732 12018 12976 16024 19464 24036 25952 32048 38928 48072 51904 64096 77856 96144 103808 128192 155712 192288 207616 256384 311424 384576 415232 512768 622848 769152 830464 1025536 1245696 1538304 1624433 2051072 2491392 3076608 3248866 4873299 6153216 6497732 9746598 12995464 19493196 25990928 38986392 51981856 77972784 103963712 155945568 207927424 311891136 415854848 623782272 831709696 1247564544 1663419392 2495129088 4990258176