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488840448 = 2833717203
BaseRepresentation
bin11101001000110…
…001110100000000
31021001211200000210
4131020301310000
52000120343243
6120301314120
715054034545
oct3510616400
91231750023
10488840448
11230a35078
12117865940
137a378805
1448cccbcc
152cdb1933
hex1d231d00

488840448 has 72 divisors (see below), whose sum is σ = 1336269088. Its totient is φ = 158533632.

The previous prime is 488840447. The next prime is 488840479. The reversal of 488840448 is 844048884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 488840397 and 488840406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488840441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19815 + ... + 37017.

Almost surely, 2488840448 is an apocalyptic number.

488840448 is a gapful number since it is divisible by the number (48) 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 488840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668134544).

488840448 is an abundant number, since it is smaller than the sum of its proper divisors (847428640).

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

488840448 is a wasteful number, since it uses less digits than its factorization.

488840448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17259 (or 17245 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 488840448 is about 22109.7364977514. The cubic root of 488840448 is about 787.7511475102.

The spelling of 488840448 in words is "four hundred eighty-eight million, eight hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 9472 14208 17203 28416 34406 51609 68812 103218 137624 206436 275248 412872 550496 636511 825744 1100992 1273022 1651488 1909533 2201984 2546044 3302976 3819066 4403968 5092088 6605952 7638132 10184176 13211904 15276264 20368352 30552528 40736704 61105056 81473408 122210112 162946816 244420224 488840448