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4978368 = 26334367
BaseRepresentation
bin10010111111011011000000
3100100221001000
4102333123000
52233301433
6254412000
760213123
oct22773300
910327030
104978368
1128a035a
121801000
131053ca5
149383ba
15685113
hex4bf6c0

4978368 has 112 divisors (see below), whose sum is σ = 15199360. Its totient is φ = 1596672.

The previous prime is 4978367. The next prime is 4978397. The reversal of 4978368 is 8638794.

It is a happy number.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (4978367) 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, 74271 + ... + 74337.

Almost surely, 24978368 is an apocalyptic number.

4978368 is a gapful number since it is divisible by the number (48) 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 4978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599680).

4978368 is an abundant number, since it is smaller than the sum of its proper divisors (10220992).

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

4978368 is a wasteful number, since it uses less digits than its factorization.

4978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4978368 is about 2231.2256721363. The cubic root of 4978368 is about 170.7506368472.

The spelling of 4978368 in words is "four million, nine hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 67 72 86 96 108 129 134 144 172 192 201 216 258 268 288 344 387 402 432 516 536 576 603 688 774 804 864 1032 1072 1161 1206 1376 1548 1608 1728 1809 2064 2144 2322 2412 2752 2881 3096 3216 3618 4128 4288 4644 4824 5762 6192 6432 7236 8256 8643 9288 9648 11524 12384 12864 14472 17286 18576 19296 23048 24768 25929 28944 34572 37152 38592 46096 51858 57888 69144 74304 77787 92192 103716 115776 138288 155574 184384 207432 276576 311148 414864 553152 622296 829728 1244592 1659456 2489184 4978368