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4978000 = 245319131
BaseRepresentation
bin10010111111010101010000
3100100220112101
4102333111100
52233244000
6254410144
760212056
oct22772520
910326471
104978000
1128a0055
121800954
131053a81
149381d6
15684e6a
hex4bf550

4978000 has 80 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 1872000.

The previous prime is 4977979. The next prime is 4978003. The reversal of 4978000 is 8794.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4978000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4978003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37935 + ... + 38065.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 24978000 is an apocalyptic number.

4978000 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 4978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

4978000 is an abundant number, since it is smaller than the sum of its proper divisors (7789040).

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

4978000 is a wasteful number, since it uses less digits than its factorization.

4978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 4978000 is about 2231.1432047271. The cubic root of 4978000 is about 170.7464294589.

The spelling of 4978000 in words is "four million, nine hundred seventy-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 131 152 190 200 250 262 304 380 400 475 500 524 655 760 950 1000 1048 1310 1520 1900 2000 2096 2375 2489 2620 3275 3800 4750 4978 5240 6550 7600 9500 9956 10480 12445 13100 16375 19000 19912 24890 26200 32750 38000 39824 49780 52400 62225 65500 99560 124450 131000 199120 248900 262000 311125 497800 622250 995600 1244500 2489000 4978000