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4987440 = 243352309
BaseRepresentation
bin10011000001101000110000
3100101101111000
4103001220300
52234044230
6254522000
760251433
oct23015060
910341430
104987440
1128a7157
121806300
131058163
1493b81a
15687b60
hex4c1a30

4987440 has 80 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 1329408.

The previous prime is 4987439. The next prime is 4987453. The reversal of 4987440 is 447894.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4987395 and 4987404.

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, 1006 + ... + 3314.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

Almost surely, 24987440 is an apocalyptic number.

4987440 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 4987440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

4987440 is an abundant number, since it is smaller than the sum of its proper divisors (12198960).

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

4987440 is a wasteful number, since it uses less digits than its factorization.

4987440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4987440 is about 2233.2577101624. The cubic root of 4987440 is about 170.8542926231.

Adding to 4987440 its product of nonzero digits (32256), we get a triangular number (5019696 = T3168).

The spelling of 4987440 in words is "four million, nine hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2309 4618 6927 9236 11545 13854 18472 20781 23090 27708 34635 36944 41562 46180 55416 62343 69270 83124 92360 103905 110832 124686 138540 166248 184720 207810 249372 277080 311715 332496 415620 498744 554160 623430 831240 997488 1246860 1662480 2493720 4987440