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488578368 = 26317181827
BaseRepresentation
bin11101000111110…
…001110101000000
31021001100100112010
4131013301311000
52000034001433
6120251532520
715051563505
oct3507616500
91231310463
10488578368
11230876183
1211775a140
137a2b6435
1448c614ac
152cd5de63
hex1d1f1d40

488578368 has 112 divisors (see below), whose sum is σ = 1377964224. Its totient is φ = 152248320.

The previous prime is 488578361. The next prime is 488578381. The reversal of 488578368 is 863875884.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488578361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590371 + ... + 591197.

It is an arithmetic number, because the mean of its divisors is an integer number (12303252).

Almost surely, 2488578368 is an apocalyptic number.

488578368 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 488578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688982112).

488578368 is an abundant number, since it is smaller than the sum of its proper divisors (889385856).

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

488578368 is a wasteful number, since it uses less digits than its factorization.

488578368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1030 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 57.

The square root of 488578368 is about 22103.8089025399. The cubic root of 488578368 is about 787.6103444270.

The spelling of 488578368 in words is "four hundred eighty-eight million, five hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 181 192 204 272 362 408 543 544 724 816 827 1086 1088 1448 1632 1654 2172 2481 2896 3077 3264 3308 4344 4962 5792 6154 6616 8688 9231 9924 11584 12308 13232 14059 17376 18462 19848 24616 26464 28118 34752 36924 39696 42177 49232 52928 56236 73848 79392 84354 98464 112472 147696 149687 158784 168708 196928 224944 295392 299374 337416 449061 449888 590784 598748 674832 898122 899776 1197496 1349664 1796244 2394992 2544679 2699328 3592488 4789984 5089358 7184976 7634037 9579968 10178716 14369952 15268074 20357432 28739904 30536148 40714864 61072296 81429728 122144592 162859456 244289184 488578368