Search a number
-
+
4988640 = 253519547
BaseRepresentation
bin10011000001111011100000
3100101110010110
4103001323200
52234114030
6254531320
760255066
oct23017340
910343113
104988640
1128a8048
121806b40
131058877
1493c036
156881b0
hex4c1ee0

4988640 has 96 divisors (see below), whose sum is σ = 16571520. Its totient is φ = 1257984.

The previous prime is 4988591. The next prime is 4988651. The reversal of 4988640 is 468894.

4988640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8847 + ... + 9393.

It is an arithmetic number, because the mean of its divisors is an integer number (172620).

Almost surely, 24988640 is an apocalyptic number.

4988640 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 4988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285760).

4988640 is an abundant number, since it is smaller than the sum of its proper divisors (11582880).

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

4988640 is a wasteful number, since it uses less digits than its factorization.

4988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4988640 is about 2233.5263598176. The cubic root of 4988640 is about 170.8679942890.

The spelling of 4988640 in words is "four million, nine hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 547 570 608 760 912 1094 1140 1520 1641 1824 2188 2280 2735 3040 3282 4376 4560 5470 6564 8205 8752 9120 10393 10940 13128 16410 17504 20786 21880 26256 31179 32820 41572 43760 51965 52512 62358 65640 83144 87520 103930 124716 131280 155895 166288 207860 249432 262560 311790 332576 415720 498864 623580 831440 997728 1247160 1662880 2494320 4988640