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4895136 = 253223739
BaseRepresentation
bin10010101011000110100000
3100012200212100
4102223012200
52223121021
6252530400
756415351
oct22530640
910180770
104895136
112843874
121780a00
13102513c
14915d28
1566a626
hex4ab1a0

4895136 has 72 divisors (see below), whose sum is σ = 14545440. Its totient is φ = 1558656.

The previous prime is 4895131. The next prime is 4895153. The reversal of 4895136 is 6315984.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 45 + 85 + 97 + 57 + 1 + 35 + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 4895136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4895131) 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, 6255 + ... + 6993.

It is an arithmetic number, because the mean of its divisors is an integer number (202020).

Almost surely, 24895136 is an apocalyptic number.

4895136 is a gapful number since it is divisible by the number (46) 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 4895136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7272720).

4895136 is an abundant number, since it is smaller than the sum of its proper divisors (9650304).

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

4895136 is a wasteful number, since it uses less digits than its factorization.

4895136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4895136 is about 2212.4954237241. The cubic root of 4895136 is about 169.7937059353.

It can be divided in two parts, 489 and 5136, that added together give a square (5625 = 752).

The spelling of 4895136 in words is "four million, eight hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 739 828 1104 1478 1656 2208 2217 2956 3312 4434 5912 6624 6651 8868 11824 13302 16997 17736 23648 26604 33994 35472 50991 53208 67988 70944 101982 106416 135976 152973 203964 212832 271952 305946 407928 543904 611892 815856 1223784 1631712 2447568 4895136