Search a number
-
+
1472352 = 25372313
BaseRepresentation
bin101100111011101100000
32202210200120
411213131200
5334103402
651320240
715341400
oct5473540
92683616
101472352
11916222
125b0080
133c721b
142a4800
151e13bc
hex167760

1472352 has 72 divisors (see below), whose sum is σ = 4510296. Its totient is φ = 419328.

The previous prime is 1472333. The next prime is 1472371. The reversal of 1472352 is 2532741.

It is an interprime number because it is at equal distance from previous prime (1472333) and next prime (1472371).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4548 + ... + 4860.

It is an arithmetic number, because the mean of its divisors is an integer number (62643).

21472352 is an apocalyptic number.

1472352 is a gapful number since it is divisible by the number (12) 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 1472352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255148).

1472352 is an abundant number, since it is smaller than the sum of its proper divisors (3037944).

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

1472352 is a wasteful number, since it uses less digits than its factorization.

1472352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 1472352 is about 1213.4051260811. The cubic root of 1472352 is about 113.7637458734.

It can be divided in two parts, 147 and 2352, that multiplied together give a square (345744 = 5882).

The spelling of 1472352 in words is "one million, four hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 313 336 392 588 626 672 784 939 1176 1252 1568 1878 2191 2352 2504 3756 4382 4704 5008 6573 7512 8764 10016 13146 15024 15337 17528 26292 30048 30674 35056 46011 52584 61348 70112 92022 105168 122696 184044 210336 245392 368088 490784 736176 1472352