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5077488 = 2431379103
BaseRepresentation
bin10011010111100111110000
3100112222000010
4103113213300
52244434423
6300454520
761105113
oct23274760
910488003
105077488
112958879
12184a440
13108a140
1496257a
156a4693
hex4d79f0

5077488 has 80 divisors (see below), whose sum is σ = 14443520. Its totient is φ = 1527552.

The previous prime is 5077477. The next prime is 5077489. The reversal of 5077488 is 8847705.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49245 + ... + 49347.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 25077488 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 5077488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221760).

5077488 is an abundant number, since it is smaller than the sum of its proper divisors (9366032).

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

5077488 is a wasteful number, since it uses less digits than its factorization.

5077488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 5077488 is about 2253.3282051224. The cubic root of 5077488 is about 171.8764210571.

It can be divided in two parts, 5077 and 488, that added together give a triangular number (5565 = T105).

The spelling of 5077488 in words is "five million, seventy-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 103 104 156 158 206 208 237 309 312 316 412 474 618 624 632 824 948 1027 1236 1264 1339 1648 1896 2054 2472 2678 3081 3792 4017 4108 4944 5356 6162 8034 8137 8216 10712 12324 16068 16274 16432 21424 24411 24648 32136 32548 48822 49296 64272 65096 97644 105781 130192 195288 211562 317343 390576 423124 634686 846248 1269372 1692496 2538744 5077488