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4973440 = 27519409
BaseRepresentation
bin10010111110001110000000
3100100200021111
4102332032000
52233122230
6254333104
760162553
oct22761600
910320244
104973440
11289768a
1217ba194
131051984
1493669a
1568392a
hex4be380

4973440 has 64 divisors (see below), whose sum is σ = 12546000. Its totient is φ = 1880064.

The previous prime is 4973411. The next prime is 4973483. The reversal of 4973440 is 443794.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11956 + ... + 12364.

Almost surely, 24973440 is an apocalyptic number.

4973440 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 4973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273000).

4973440 is an abundant number, since it is smaller than the sum of its proper divisors (7572560).

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

4973440 is a wasteful number, since it uses less digits than its factorization.

4973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 4973440 is about 2230.1210729465. The cubic root of 4973440 is about 170.6942772169.

The spelling of 4973440 in words is "four million, nine hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 409 608 640 760 818 1216 1520 1636 2045 2432 3040 3272 4090 6080 6544 7771 8180 12160 13088 15542 16360 26176 31084 32720 38855 52352 62168 65440 77710 124336 130880 155420 248672 261760 310840 497344 621680 994688 1243360 2486720 4973440