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5225376 = 253135379
BaseRepresentation
bin10011111011101110100000
3100211110212110
4103323232200
52314203001
6303555320
762262222
oct23735640
910743773
105225376
112a499a2
1218bbb40
13110c550
149a0412
156d33d6
hex4fbba0

5225376 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1557504.

The previous prime is 5225371. The next prime is 5225377. The reversal of 5225376 is 6735225.

5225376 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 52 + 214 + 216 + 57 + 314 + 74 + 67 .

Its product of digits (12600) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225371) 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, 66105 + ... + 66183.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 25225376 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 5225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5225376 is an abundant number, since it is smaller than the sum of its proper divisors (10015584).

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

5225376 is a wasteful number, since it uses less digits than its factorization.

5225376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 5225376 is about 2285.9081346371. The cubic root of 5225376 is about 173.5291803412.

The spelling of 5225376 in words is "five million, two hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 79 96 104 106 156 158 159 208 212 237 312 316 318 416 424 474 624 632 636 689 848 948 1027 1248 1264 1272 1378 1696 1896 2054 2067 2528 2544 2756 3081 3792 4108 4134 4187 5088 5512 6162 7584 8216 8268 8374 11024 12324 12561 16432 16536 16748 22048 24648 25122 32864 33072 33496 49296 50244 54431 66144 66992 98592 100488 108862 133984 163293 200976 217724 326586 401952 435448 653172 870896 1306344 1741792 2612688 5225376