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488302948 = 227314113721
BaseRepresentation
bin11101000110101…
…110100101100100
31021000211100201101
4131012232211210
52000001143243
6120242005444
715046335520
oct3506564544
91230740641
10488302948
112306a8261
12117646884
137a21ac73
1448bccd80
152cd0754d
hex1d1ae964

488302948 has 48 divisors (see below), whose sum is σ = 1032772608. Its totient is φ = 197568000.

The previous prime is 488302943. The next prime is 488302963. The reversal of 488302948 is 849203884.

It is a junction number, because it is equal to n+sod(n) for n = 488302898 and 488302907.

It is not an unprimeable number, because it can be changed into a prime (488302943) 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, 28728 + ... + 42448.

It is an arithmetic number, because the mean of its divisors is an integer number (21516096).

Almost surely, 2488302948 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 488302948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516386304).

488302948 is an abundant number, since it is smaller than the sum of its proper divisors (544469660).

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

488302948 is a wasteful number, since it uses less digits than its factorization.

488302948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13804 (or 13802 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The square root of 488302948 is about 22097.5778763194. The cubic root of 488302948 is about 787.4623201254.

The spelling of 488302948 in words is "four hundred eighty-eight million, three hundred two thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 41 62 82 124 164 217 287 434 574 868 1148 1271 2542 5084 8897 13721 17794 27442 35588 54884 96047 192094 384188 425351 562561 850702 1125122 1701404 2250244 2977457 3937927 5954914 7875854 11909828 15751708 17439391 34878782 69757564 122075737 244151474 488302948