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332422048 = 2575925153
BaseRepresentation
bin10011110100000…
…101101110100000
3212011111210022201
4103310011232200
51140100001143
652552542544
711144353330
oct2364055640
9764453281
10332422048
11160709672
12933b1a54
1353b4034a
14322130c0
151e2b564d
hex13d05ba0

332422048 has 48 divisors (see below), whose sum is σ = 760656960. Its totient is φ = 140046336.

The previous prime is 332422019. The next prime is 332422049. The reversal of 332422048 is 840224233.

It is a super-2 number, since 2×3324220482 = 221008835993028608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (332422049) 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 7 ways as a sum of consecutive naturals, for example, 640 + ... + 25792.

It is an arithmetic number, because the mean of its divisors is an integer number (15847020).

Almost surely, 2332422048 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 332422048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380328480).

332422048 is an abundant number, since it is smaller than the sum of its proper divisors (428234912).

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

332422048 is a wasteful number, since it uses less digits than its factorization.

332422048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25229 (or 25221 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 332422048 is about 18232.4449265588. Note that the first 3 decimals coincide. The cubic root of 332422048 is about 692.7288477189.

The spelling of 332422048 in words is "three hundred thirty-two million, four hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 13216 25153 50306 100612 176071 201224 352142 402448 704284 804896 1408568 1484027 2817136 2968054 5634272 5936108 10388189 11872216 20776378 23744432 41552756 47488864 83105512 166211024 332422048