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4908240 = 2432517401
BaseRepresentation
bin10010101110010011010000
3100020100211200
4102232103100
52224030430
6253111200
756501511
oct22562320
910210750
104908240
1128526a7
121788500
13102b0ac
1491aa08
1566e460
hex4ae4d0

4908240 has 120 divisors (see below), whose sum is σ = 17496648. Its totient is φ = 1228800.

The previous prime is 4908217. The next prime is 4908247. The reversal of 4908240 is 428094.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 2322576 = 1608^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4908247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12040 + ... + 12440.

Almost surely, 24908240 is an apocalyptic number.

4908240 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 4908240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748324).

4908240 is an abundant number, since it is smaller than the sum of its proper divisors (12588408).

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

4908240 is a wasteful number, since it uses less digits than its factorization.

4908240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4908240 is about 2215.4548065804. The cubic root of 4908240 is about 169.9450802989.

The spelling of 4908240 in words is "four million, nine hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 401 408 510 612 680 720 765 802 816 1020 1203 1224 1360 1530 1604 2005 2040 2406 2448 3060 3208 3609 4010 4080 4812 6015 6120 6416 6817 7218 8020 9624 12030 12240 13634 14436 16040 18045 19248 20451 24060 27268 28872 32080 34085 36090 40902 48120 54536 57744 61353 68170 72180 81804 96240 102255 109072 122706 136340 144360 163608 204510 245412 272680 288720 306765 327216 409020 490824 545360 613530 818040 981648 1227060 1636080 2454120 4908240