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4974480 = 243357247
BaseRepresentation
bin10010111110011110010000
3100100201201000
4102332132100
52233140410
6254342000
760165600
oct22763620
910321630
104974480
112898445
1217ba900
1310522a4
14936c00
15683dc0
hex4be790

4974480 has 240 divisors, whose sum is σ = 20355840. Its totient is φ = 1112832.

The previous prime is 4974479. The next prime is 4974491. The reversal of 4974480 is 844794.

4974480 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105817 + ... + 105863.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

Almost surely, 24974480 is an apocalyptic number.

4974480 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 4974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

4974480 is an abundant number, since it is smaller than the sum of its proper divisors (15381360).

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

4974480 is a wasteful number, since it uses less digits than its factorization.

4974480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

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

The square root of 4974480 is about 2230.3542319551. The cubic root of 4974480 is about 170.7061743931.

It can be divided in two parts, 49 and 74480, that added together give a square (74529 = 2732).

The spelling of 4974480 in words is "four million, nine hundred seventy-four thousand, four hundred eighty".