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448138840 = 23524774523
BaseRepresentation
bin11010101101100…
…000111001011000
31011020020210220211
4122231200321120
51404210420330
6112245100504
714051055142
oct3255407130
91136223824
10448138840
1120aa65386
121060b7734
1371ac7816
1443735c92
1529521d2a
hex1ab60e58

448138840 has 32 divisors (see below), whose sum is σ = 1008942480. Its totient is φ = 179143552.

The previous prime is 448138837. The next prime is 448138841. The reversal of 448138840 is 48831844.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 448138793 and 448138802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448138841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96819 + ... + 101341.

Almost surely, 2448138840 is an apocalyptic number.

448138840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448138840 is an abundant number, since it is smaller than the sum of its proper divisors (560803640).

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

448138840 is a wasteful number, since it uses less digits than its factorization.

448138840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 448138840 is about 21169.2900211604. The cubic root of 448138840 is about 765.2515099940.

The spelling of 448138840 in words is "four hundred forty-eight million, one hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2477 4523 4954 9046 9908 12385 18092 19816 22615 24770 36184 45230 49540 90460 99080 180920 11203471 22406942 44813884 56017355 89627768 112034710 224069420 448138840