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488400048960 = 2635508750051
BaseRepresentation
bin1110001101101101110…
…10010101001101000000
31201200122102212010220020
413012312322111031000
531000220403031320
61012211244013440
750200002630165
oct7066672251500
91650572763806
10488400048960
111791471055aa
127a7a4231280
1337095b43c15
14198d27c006c
15ca87585940
hex71b6e95340

488400048960 has 56 divisors (see below), whose sum is σ = 1550670158496. Its totient is φ = 130240012800.

The previous prime is 488400048953. The next prime is 488400048967. The reversal of 488400048960 is 69840004884.

It is an interprime number because it is at equal distance from previous prime (488400048953) and next prime (488400048967).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488400048967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254374066 + ... + 254375985.

Almost surely, 2488400048960 is an apocalyptic number.

488400048960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488400048960 is an abundant number, since it is smaller than the sum of its proper divisors (1062270109536).

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

488400048960 is a wasteful number, since it uses less digits than its factorization.

488400048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508750071 (or 508750061 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 488400048960 in words is "four hundred eighty-eight billion, four hundred million, forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 508750051 1017500102 1526250153 2035000204 2543750255 3052500306 4070000408 5087500510 6105000612 7631250765 8140000816 10175001020 12210001224 15262501530 16280001632 20350002040 24420002448 30525003060 32560003264 40700004080 48840004896 61050006120 81400008160 97680009792 122100012240 162800016320 244200024480 488400048960