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4978688 = 211111317
BaseRepresentation
bin10010111111100000000000
3100100221110212
4102333200000
52233304223
6254413252
760214061
oct22774000
910327425
104978688
1128a0620
121801228
131054190
14938568
15685278
hex4bf800

4978688 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1966080.

The previous prime is 4978681. The next prime is 4978697. The reversal of 4978688 is 8868794.

Its product of digits (774144) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4978681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292856 + ... + 292872.

Almost surely, 24978688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4978688 is an abundant number, since it is smaller than the sum of its proper divisors (7404592).

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

4978688 is a wasteful number, since it uses less digits than its factorization.

4978688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 43 counting only the distinct ones).

The product of its digits is 774144, while the sum is 50.

The square root of 4978688 is about 2231.2973804493. The cubic root of 4978688 is about 170.7542952773.

The spelling of 4978688 in words is "four million, nine hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 256 272 286 352 374 416 442 512 544 572 704 748 832 884 1024 1088 1144 1408 1496 1664 1768 2048 2176 2288 2431 2816 2992 3328 3536 4352 4576 4862 5632 5984 6656 7072 8704 9152 9724 11264 11968 13312 14144 17408 18304 19448 22528 23936 26624 28288 34816 36608 38896 47872 56576 73216 77792 95744 113152 146432 155584 191488 226304 292864 311168 382976 452608 622336 1244672 2489344 4978688