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4748040 = 23325112109
BaseRepresentation
bin10010000111001100001000
322221020002100
4102013030020
52203414130
6245433400
755233453
oct22071410
98836070
104748040
112753300
12170b860
13ca31bb
148b849a
1563bc60
hex487308

4748040 has 144 divisors (see below), whose sum is σ = 17117100. Its totient is φ = 1140480.

The previous prime is 4748039. The next prime is 4748047. The reversal of 4748040 is 408474.

4748040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 21792-1.

It can be written as a sum of positive squares in 2 ways, for example, as 4743684 + 4356 = 2178^2 + 66^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4747995 and 4748013.

It is not an unprimeable number, because it can be changed into a prime (4748047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43506 + ... + 43614.

Almost surely, 24748040 is an apocalyptic number.

4748040 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 4748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558550).

4748040 is an abundant number, since it is smaller than the sum of its proper divisors (12369060).

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

4748040 is a wasteful number, since it uses less digits than its factorization.

4748040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4748040 is about 2178.9997705369. Note that the first 3 decimals coincide. The cubic root of 4748040 is about 168.0756462054.

The spelling of 4748040 in words is "four million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 109 110 120 121 132 165 180 198 218 220 242 264 327 330 360 363 396 436 440 484 495 545 605 654 660 726 792 872 968 981 990 1089 1090 1199 1210 1308 1320 1452 1635 1815 1962 1980 2178 2180 2398 2420 2616 2904 3270 3597 3630 3924 3960 4356 4360 4796 4840 4905 5445 5995 6540 7194 7260 7848 8712 9592 9810 10791 10890 11990 13080 13189 14388 14520 17985 19620 21582 21780 23980 26378 28776 35970 39240 39567 43164 43560 47960 52756 53955 65945 71940 79134 86328 105512 107910 118701 131890 143880 158268 197835 215820 237402 263780 316536 395670 431640 474804 527560 593505 791340 949608 1187010 1582680 2374020 4748040