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448368132 = 2231718112143
BaseRepresentation
bin11010101110011…
…000111000000100
31011020200110110010
4122232120320010
51404240240012
6112254030220
714053031502
oct3256307004
91136613403
10448368132
11210101683
121061a8370
1371b77cb4
1443795672
1529569c3c
hex1ab98e04

448368132 has 48 divisors (see below), whose sum is σ = 1113944832. Its totient is φ = 139875840.

The previous prime is 448368131. The next prime is 448368157. The reversal of 448368132 is 231863844.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (448368131) 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, 30853 + ... + 42995.

It is an arithmetic number, because the mean of its divisors is an integer number (23207184).

Almost surely, 2448368132 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 448368132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556972416).

448368132 is an abundant number, since it is smaller than the sum of its proper divisors (665576700).

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

448368132 is a wasteful number, since it uses less digits than its factorization.

448368132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348 (or 12346 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 448368132 is about 21174.7050038483. The cubic root of 448368132 is about 765.3820023891.

The spelling of 448368132 in words is "four hundred forty-eight million, three hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 181 204 362 543 724 1086 2172 3077 6154 9231 12143 12308 18462 24286 36429 36924 48572 72858 145716 206431 412862 619293 825724 1238586 2197883 2477172 4395766 6593649 8791532 13187298 26374596 37364011 74728022 112092033 149456044 224184066 448368132