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488850080 = 25583131281
BaseRepresentation
bin11101001000110…
…100001010100000
31021001212011020112
4131020310022200
52000121200310
6120301430452
715054104615
oct3510641240
91231764215
10488850080
11230a41334
1211786b428
137a380004
1448cd250c
152cdb4705
hex1d2342a0

488850080 has 96 divisors (see below), whose sum is σ = 1181936448. Its totient is φ = 191027200.

The previous prime is 488850059. The next prime is 488850083. The reversal of 488850080 is 80058884.

It is not an unprimeable number, because it can be changed into a prime (488850083) 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 15 ways as a sum of consecutive naturals, for example, 1739540 + ... + 1739820.

It is an arithmetic number, because the mean of its divisors is an integer number (12311838).

Almost surely, 2488850080 is an apocalyptic number.

488850080 is a gapful number since it is divisible by the number (40) 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 488850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590968224).

488850080 is an abundant number, since it is smaller than the sum of its proper divisors (693086368).

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

488850080 is a wasteful number, since it uses less digits than its factorization.

488850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 488850080 is about 22109.9543192653. The cubic root of 488850080 is about 787.7563213655.

The spelling of 488850080 in words is "four hundred eighty-eight million, eight hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 131 160 166 262 281 332 415 524 562 655 664 830 1048 1124 1310 1328 1405 1660 2096 2248 2620 2656 2810 3320 4192 4496 5240 5620 6640 8992 10480 10873 11240 13280 20960 21746 22480 23323 36811 43492 44960 46646 54365 73622 86984 93292 108730 116615 147244 173968 184055 186584 217460 233230 294488 347936 368110 373168 434920 466460 588976 736220 746336 869840 932920 1177952 1472440 1739680 1865840 2944880 3055313 3731680 5889760 6110626 12221252 15276565 24442504 30553130 48885008 61106260 97770016 122212520 244425040 488850080