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4780248 = 2331119953
BaseRepresentation
bin10010001111000011011000
322222212021020
4102033003120
52210431443
6250242440
755426404
oct22170330
98885236
104780248
112775520
121726420
13cb4a65
148c6104
15646583
hex48f0d8

4780248 has 64 divisors (see below), whose sum is σ = 13737600. Its totient is φ = 1370880.

The previous prime is 4780241. The next prime is 4780261. The reversal of 4780248 is 8420874.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4780241) 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, 4540 + ... + 5492.

It is an arithmetic number, because the mean of its divisors is an integer number (214650).

Almost surely, 24780248 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 4780248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868800).

4780248 is an abundant number, since it is smaller than the sum of its proper divisors (8957352).

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

4780248 is a wasteful number, since it uses less digits than its factorization.

4780248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4780248 is about 2186.3778264518. The cubic root of 4780248 is about 168.4548332597.

The spelling of 4780248 in words is "four million, seven hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 953 1254 1672 1906 2508 2859 3812 5016 5718 7624 10483 11436 18107 20966 22872 31449 36214 41932 54321 62898 72428 83864 108642 125796 144856 199177 217284 251592 398354 434568 597531 796708 1195062 1593416 2390124 4780248