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488801448 = 233219675333
BaseRepresentation
bin11101001000101…
…000010010101000
31021001202200112100
4131020220102220
52000113121243
6120300413400
715053513052
oct3510502250
91231680470
10488801448
11230a08843
12117847260
137a363b35
1448cbc8d2
152cda50d3
hex1d2284a8

488801448 has 96 divisors (see below), whose sum is σ = 1414576800. Its totient is φ = 152025984.

The previous prime is 488801437. The next prime is 488801449. The reversal of 488801448 is 844108884.

It is not an unprimeable number, because it can be changed into a prime (488801449) 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 23 ways as a sum of consecutive naturals, for example, 88990 + ... + 94322.

It is an arithmetic number, because the mean of its divisors is an integer number (14735175).

Almost surely, 2488801448 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 488801448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707288400).

488801448 is an abundant number, since it is smaller than the sum of its proper divisors (925775352).

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

488801448 is a wasteful number, since it uses less digits than its factorization.

488801448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 488801448 is about 22108.8545157817. The cubic root of 488801448 is about 787.7301978582.

The spelling of 488801448 in words is "four hundred eighty-eight million, eight hundred one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 67 72 76 114 134 152 171 201 228 268 342 402 456 536 603 684 804 1206 1273 1368 1608 2412 2546 3819 4824 5092 5333 7638 10184 10666 11457 15276 15999 21332 22914 30552 31998 42664 45828 47997 63996 91656 95994 101327 127992 191988 202654 303981 357311 383976 405308 607962 714622 810616 911943 1071933 1215924 1429244 1823886 2143866 2431848 2858488 3215799 3647772 4287732 6431598 6788909 7295544 8575464 12863196 13577818 20366727 25726392 27155636 40733454 54311272 61100181 81466908 122200362 162933816 244400724 488801448