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488820276 = 223273311277
BaseRepresentation
bin11101001000101…
…100111000110100
31021001210122100200
4131020230320310
52000114222101
6120301040500
715053622000
oct3510547064
91231718320
10488820276
11230a209aa
12117856130
137a36c589
1448cc5700
152cdaa986
hex1d22ce34

488820276 has 144 divisors (see below), whose sum is σ = 1488614400. Its totient is φ = 135051840.

The previous prime is 488820271. The next prime is 488820281. The reversal of 488820276 is 672028884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (488820271) and next prime (488820281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488820271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382150 + ... + 383426.

It is an arithmetic number, because the mean of its divisors is an integer number (10337600).

Almost surely, 2488820276 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 488820276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744307200).

488820276 is an abundant number, since it is smaller than the sum of its proper divisors (999794124).

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

488820276 is a wasteful number, since it uses less digits than its factorization.

488820276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 488820276 is about 22109.2803139315. The cubic root of 488820276 is about 787.7403118447.

The spelling of 488820276 in words is "four hundred eighty-eight million, eight hundred twenty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 343 372 434 441 558 588 651 686 868 882 1029 1116 1277 1302 1372 1519 1764 1953 2058 2554 2604 3038 3087 3831 3906 4116 4557 5108 6076 6174 7662 7812 8939 9114 10633 11493 12348 13671 15324 17878 18228 21266 22986 26817 27342 31899 35756 39587 42532 45972 53634 54684 62573 63798 79174 80451 95697 107268 118761 125146 127596 158348 160902 187719 191394 237522 250292 277109 321804 356283 375438 382788 438011 475044 554218 563157 712566 750876 831327 876022 1108436 1126314 1314033 1425132 1662654 1752044 1939763 2252628 2493981 2628066 3325308 3879526 3942099 4987962 5256132 5819289 7759052 7884198 9975924 11638578 13578341 15768396 17457867 23277156 27156682 34915734 40735023 54313364 69831468 81470046 122205069 162940092 244410138 488820276