Search a number
-
+
4807488 = 2637373
BaseRepresentation
bin10010010101101101000000
3100001020122010
4102111231000
52212314423
6251012520
755602000
oct22255500
910036563
104807488
112793a34
12173a140
13cc428a
148d2000
1564e693
hex495b40

4807488 has 112 divisors (see below), whose sum is σ = 15036800. Its totient is φ = 1354752.

The previous prime is 4807487. The next prime is 4807493. The reversal of 4807488 is 8847084.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×48074883 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4807487) 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, 65820 + ... + 65892.

Almost surely, 24807488 is an apocalyptic number.

4807488 is a gapful number since it is divisible by the number (48) 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 4807488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518400).

4807488 is an abundant number, since it is smaller than the sum of its proper divisors (10229312).

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

4807488 is an equidigital number, since it uses as much as digits as its factorization.

4807488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 4807488 is about 2192.5984584506. The cubic root of 4807488 is about 168.7742044842.

The spelling of 4807488 in words is "four million, eight hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 73 84 96 98 112 146 147 168 192 196 219 224 292 294 336 343 392 438 448 511 584 588 672 686 784 876 1022 1029 1168 1176 1344 1372 1533 1568 1752 2044 2058 2336 2352 2744 3066 3136 3504 3577 4088 4116 4672 4704 5488 6132 7008 7154 8176 8232 9408 10731 10976 12264 14016 14308 16352 16464 21462 21952 24528 25039 28616 32704 32928 42924 49056 50078 57232 65856 75117 85848 98112 100156 114464 150234 171696 200312 228928 300468 343392 400624 600936 686784 801248 1201872 1602496 2403744 4807488