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365472 = 253547
BaseRepresentation
bin1011001001110100000
3200120100000
41121032200
543143342
611500000
73051342
oct1311640
9616300
10365472
1122a648
12157600
13ca473
1497292
157344c
hex593a0

365472 has 72 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 119232.

The previous prime is 365471. The next prime is 365473. The reversal of 365472 is 274563.

It is a happy number.

365472 is a `hidden beast` number, since 3 + 654 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (365471) and next prime (365473).

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 (27).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (5040) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (365471) 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, 7753 + ... + 7799.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

365472 is a Friedman number, since it can be written as (54-7)*6^(3+2), using all its digits and the basic arithmetic operations.

2365472 is an apocalyptic number.

365472 is a gapful number since it is divisible by the number (32) 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 365472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

365472 is an abundant number, since it is smaller than the sum of its proper divisors (735264).

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

365472 is an equidigital number, since it uses as much as digits as its factorization.

365472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 365472 is about 604.5428024549. The cubic root of 365472 is about 71.4964870232.

Subtracting from 365472 its reverse (274563), we obtain a palindrome (90909).

The spelling of 365472 in words is "three hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 243 282 288 324 376 423 432 486 564 648 752 846 864 972 1128 1269 1296 1504 1692 1944 2256 2538 2592 3384 3807 3888 4512 5076 6768 7614 7776 10152 11421 13536 15228 20304 22842 30456 40608 45684 60912 91368 121824 182736 365472