Search a number
-
+
488730720 = 25353133253
BaseRepresentation
bin11101001000010…
…111000001100000
31021001122002111210
4131020113001200
52000103340340
6120255110120
715053066622
oct3510270140
91231562453
10488730720
1123096a695
12117812340
137a33a89a
1448ca0c12
152cd8e180
hex1d217060

488730720 has 96 divisors (see below), whose sum is σ = 1544895072. Its totient is φ = 129871872.

The previous prime is 488730691. The next prime is 488730721. The reversal of 488730720 is 27037884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488730721) 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 15 ways as a sum of consecutive naturals, for example, 148614 + ... + 151866.

It is an arithmetic number, because the mean of its divisors is an integer number (16092657).

Almost surely, 2488730720 is an apocalyptic number.

488730720 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 488730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772447536).

488730720 is an abundant number, since it is smaller than the sum of its proper divisors (1056164352).

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

488730720 is a wasteful number, since it uses less digits than its factorization.

488730720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 488730720 is about 22107.2549177866. The cubic root of 488730720 is about 787.6922020154.

The spelling of 488730720 in words is "four hundred eighty-eight million, seven hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 626 939 1252 1565 1878 2504 3130 3253 3756 4695 5008 6260 6506 7512 9390 9759 10016 12520 13012 15024 16265 18780 19518 25040 26024 30048 32530 37560 39036 48795 50080 52048 65060 75120 78072 97590 104096 130120 150240 156144 195180 260240 312288 390360 520480 780720 1018189 1561440 2036378 3054567 4072756 5090945 6109134 8145512 10181890 12218268 15272835 16291024 20363780 24436536 30545670 32582048 40727560 48873072 61091340 81455120 97746144 122182680 162910240 244365360 488730720