Search a number
-
+
4990770480 = 243535358909
BaseRepresentation
bin1001010010111100…
…10001110100110000
3110212211000102001010
410221132101310300
540210114123410
62143121310520
7234450564153
oct45136216460
913784012033
104990770480
112131183803
12b73495440
13616c79937
14354b7bc9a
151e3231c20
hex129791d30

4990770480 has 80 divisors (see below), whose sum is σ = 15515480160. Its totient is φ = 1327079424.

The previous prime is 4990770443. The next prime is 4990770481. The reversal of 4990770480 is 840770994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4990770481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55266 + ... + 114174.

It is an arithmetic number, because the mean of its divisors is an integer number (193943502).

Almost surely, 24990770480 is an apocalyptic number.

4990770480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4990770480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757740080).

4990770480 is an abundant number, since it is smaller than the sum of its proper divisors (10524709680).

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

4990770480 is a wasteful number, since it uses less digits than its factorization.

4990770480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59278 (or 59272 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 4990770480 is about 70645.3854119291. The cubic root of 4990770480 is about 1708.9231481424.

The spelling of 4990770480 in words is "four billion, nine hundred ninety million, seven hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 7060 8472 10590 14120 16944 21180 28240 42360 58909 84720 117818 176727 235636 294545 353454 471272 589090 706908 883635 942544 1178180 1413816 1767270 2356360 2827632 3534540 4712720 7069080 14138160 20794877 41589754 62384631 83179508 103974385 124769262 166359016 207948770 249538524 311923155 332718032 415897540 499077048 623846310 831795080 998154096 1247692620 1663590160 2495385240 4990770480