Search a number
-
+
4802688020 = 22513173135051
BaseRepresentation
bin1000111100100001…
…10011010000010100
3110101201002211102002
410132100303100110
534313442004040
62112322134432
7230005113614
oct43620632024
913351084362
104802688020
112044aa0659
12b204b1418
135b7005c40
14337bbca44
151d197da15
hex11e433414

4802688020 has 96 divisors (see below), whose sum is σ = 11871691776. Its totient is φ = 1615104000.

The previous prime is 4802687987. The next prime is 4802688049. The reversal of 4802688020 is 208862084.

It is a super-3 number, since 3×48026880203 (a number of 30 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 119495 + ... + 154545.

It is an arithmetic number, because the mean of its divisors is an integer number (123663456).

Almost surely, 24802688020 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 4802688020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935845888).

4802688020 is an abundant number, since it is smaller than the sum of its proper divisors (7069003756).

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

4802688020 is a wasteful number, since it uses less digits than its factorization.

4802688020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35121 (or 35119 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 4802688020 is about 69301.4287010015. The cubic root of 4802688020 is about 1687.1801557143.

The spelling of 4802688020 in words is "four billion, eight hundred two million, six hundred eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 31 34 52 62 65 68 85 124 130 155 170 221 260 310 340 403 442 527 620 806 884 1054 1105 1612 2015 2108 2210 2635 4030 4420 5270 6851 8060 10540 13702 27404 34255 35051 68510 70102 137020 140204 175255 350510 455663 595867 701020 911326 1086581 1191734 1822652 2173162 2278315 2383468 2979335 4346324 4556630 5432905 5958670 7746271 9113260 10865810 11917340 14125553 15492542 18471877 21731620 28251106 30985084 36943754 38731355 56502212 70627765 73887508 77462710 92359385 141255530 154925420 184718770 240134401 282511060 369437540 480268802 960537604 1200672005 2401344010 4802688020