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4978720 = 25529237
BaseRepresentation
bin10010111111100000100000
3100100221112001
4102333200200
52233304340
6254413344
760214135
oct22774040
910327461
104978720
1128a064a
121801254
1310541b6
1493858c
1568529a
hex4bf820

4978720 has 72 divisors (see below), whose sum is σ = 12511044. Its totient is φ = 1870848.

The previous prime is 4978709. The next prime is 4978723. The reversal of 4978720 is 278794.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3370896 + 1607824 = 1836^2 + 1268^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 4978720.

It is not an unprimeable number, because it can be changed into a prime (4978723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134542 + ... + 134578.

Almost surely, 24978720 is an apocalyptic number.

4978720 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 4978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255522).

4978720 is an abundant number, since it is smaller than the sum of its proper divisors (7532324).

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

4978720 is a wasteful number, since it uses less digits than its factorization.

4978720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 4978720 is about 2231.3045511539. The cubic root of 4978720 is about 170.7546611116.

The spelling of 4978720 in words is "four million, nine hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 74 80 116 145 148 160 185 232 290 296 370 464 580 592 740 841 928 1073 1160 1184 1480 1682 2146 2320 2960 3364 4205 4292 4640 5365 5920 6728 8410 8584 10730 13456 16820 17168 21460 26912 31117 33640 34336 42920 62234 67280 85840 124468 134560 155585 171680 248936 311170 497872 622340 995744 1244680 2489360 4978720