Search a number
-
+
4985955360 = 253253462469
BaseRepresentation
bin1001010010010111…
…11010010000100000
3110212110221202221100
410221023322100200
540202401032420
62142430154400
7234361631001
oct45113722040
913773852840
104985955360
112129495071
12b71952a00
13615c82059
143542871a8
151e2ad0190
hex1292fa420

4985955360 has 72 divisors (see below), whose sum is σ = 17014577580. Its totient is φ = 1329587712.

The previous prime is 4985955349. The next prime is 4985955391. The reversal of 4985955360 is 635595894.

It is a happy number.

4985955360 is a `hidden beast` number, since 4 + 9 + 85 + 9 + 553 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4889365776 + 96589584 = 69924^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4985955297 and 4985955306.

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 11 ways as a sum of consecutive naturals, for example, 1729795 + ... + 1732674.

Almost surely, 24985955360 is an apocalyptic number.

4985955360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4985955360 is an abundant number, since it is smaller than the sum of its proper divisors (12028622220).

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

4985955360 is a wasteful number, since it uses less digits than its factorization.

4985955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462490 (or 3462479 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 4985955360 is about 70611.2976796206. The cubic root of 4985955360 is about 1708.3733788008.

The spelling of 4985955360 in words is "four billion, nine hundred eighty-five million, nine hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3462469 6924938 10387407 13849876 17312345 20774814 27699752 31162221 34624690 41549628 51937035 55399504 62324442 69249380 83099256 103874070 110799008 124648884 138498760 155811105 166198512 207748140 249297768 276997520 311622210 332397024 415496280 498595536 553995040 623244420 830992560 997191072 1246488840 1661985120 2492977680 4985955360