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488279088 = 2432112811097
BaseRepresentation
bin11101000110101…
…000110000110000
31021000210010222200
4131012220300300
51444444412323
6120241303200
715046206123
oct3506506060
91230703880
10488279088
11230691340
12117634b00
137a21014b
1448bc43ba
152cd00443
hex1d1a8c30

488279088 has 120 divisors (see below), whose sum is σ = 1497399696. Its totient is φ = 147302400.

The previous prime is 488279069. The next prime is 488279093. The reversal of 488279088 is 880972884.

It is a super-3 number, since 3×4882790883 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444556 + ... + 445652.

Almost surely, 2488279088 is an apocalyptic number.

488279088 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 488279088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748699848).

488279088 is an abundant number, since it is smaller than the sum of its proper divisors (1009120608).

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

488279088 is a wasteful number, since it uses less digits than its factorization.

488279088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 488279088 is about 22097.0379915499. The cubic root of 488279088 is about 787.4494939642.

The spelling of 488279088 in words is "four hundred eighty-eight million, two hundred seventy-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 281 396 528 562 792 843 1097 1124 1584 1686 2194 2248 2529 3091 3291 3372 4388 4496 5058 6182 6582 6744 8776 9273 9873 10116 12067 12364 13164 13488 17552 18546 19746 20232 24134 24728 26328 27819 36201 37092 39492 40464 48268 49456 52656 55638 72402 74184 78984 96536 108603 111276 144804 148368 157968 193072 217206 222552 289608 308257 434412 445104 579216 616514 868824 924771 1233028 1737648 1849542 2466056 2774313 3390827 3699084 4932112 5548626 6781654 7398168 10172481 11097252 13563308 14796336 20344962 22194504 27126616 30517443 40689924 44389008 54253232 61034886 81379848 122069772 162759696 244139544 488279088