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4907840 = 26572313
BaseRepresentation
bin10010101110001101000000
3100020100021212
4102232031000
52224022330
6253105252
756500400
oct22561500
910210255
104907840
112852373
121788228
13102ab62
1491a800
1566e295
hex4ae340

4907840 has 84 divisors (see below), whose sum is σ = 13638276. Its totient is φ = 1677312.

The previous prime is 4907831. The next prime is 4907857. The reversal of 4907840 is 487094.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 4293184 = 784^2 + 2072^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4907797 and 4907806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15524 + ... + 15836.

Almost surely, 24907840 is an apocalyptic number.

4907840 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 4907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819138).

4907840 is an abundant number, since it is smaller than the sum of its proper divisors (8730436).

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

4907840 is a wasteful number, since it uses less digits than its factorization.

4907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4907840 is about 2215.3645298235. The cubic root of 4907840 is about 169.9404635810.

It can be divided in two parts, 490 and 7840, that multiplied together give a square (3841600 = 19602).

The spelling of 4907840 in words is "four million, nine hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 313 320 392 448 490 560 626 784 980 1120 1252 1565 1568 1960 2191 2240 2504 3130 3136 3920 4382 5008 6260 7840 8764 10016 10955 12520 15337 15680 17528 20032 21910 25040 30674 35056 43820 50080 61348 70112 76685 87640 100160 122696 140224 153370 175280 245392 306740 350560 490784 613480 701120 981568 1226960 2453920 4907840