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488278272 = 2833120509
BaseRepresentation
bin11101000110101…
…000100100000000
31021000210002212110
4131012220210000
51444444401042
6120241255320
715046203546
oct3506504400
91230702773
10488278272
11230690769
12117634540
137a20c971
1448bc3d96
152cd0009c
hex1d1a8900

488278272 has 72 divisors (see below), whose sum is σ = 1341518080. Its totient is φ = 157501440.

The previous prime is 488278229. The next prime is 488278319. The reversal of 488278272 is 272872884.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13554 + ... + 34062.

Almost surely, 2488278272 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 488278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670759040).

488278272 is an abundant number, since it is smaller than the sum of its proper divisors (853239808).

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

488278272 is a wasteful number, since it uses less digits than its factorization.

488278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20559 (or 20545 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The square root of 488278272 is about 22097.0195275290. The cubic root of 488278272 is about 787.4490553086.

The spelling of 488278272 in words is "four hundred eighty-eight million, two hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 20509 23808 41018 61527 82036 123054 164072 246108 328144 492216 635779 656288 984432 1271558 1312576 1907337 1968864 2543116 2625152 3814674 3937728 5086232 5250304 7629348 7875456 10172464 15258696 15750912 20344928 30517392 40689856 61034784 81379712 122069568 162759424 244139136 488278272