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4936440 = 2335311327
BaseRepresentation
bin10010110101001011111000
3100021210112010
4102311023320
52230431230
6253445520
756646645
oct22651370
910253463
104936440
112871903
1217a08a0
13103ab92
14926dcc
156779b0
hex4b52f8

4936440 has 64 divisors (see below), whose sum is σ = 15298560. Its totient is φ = 1272960.

The previous prime is 4936439. The next prime is 4936453. The reversal of 4936440 is 446394.

4936440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4936398 and 4936407.

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, 3057 + ... + 4383.

It is an arithmetic number, because the mean of its divisors is an integer number (239040).

Almost surely, 24936440 is an apocalyptic number.

4936440 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 4936440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649280).

4936440 is an abundant number, since it is smaller than the sum of its proper divisors (10362120).

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

4936440 is a wasteful number, since it uses less digits than its factorization.

4936440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4936440 is about 2221.8100728910. The cubic root of 4936440 is about 170.2699287308.

The spelling of 4936440 in words is "four million, nine hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1327 1860 2654 3720 3981 5308 6635 7962 10616 13270 15924 19905 26540 31848 39810 41137 53080 79620 82274 123411 159240 164548 205685 246822 329096 411370 493644 617055 822740 987288 1234110 1645480 2468220 4936440