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48828125000 = 23514
BaseRepresentation
bin101101011110011000…
…100000111101001000
311200000220201202100002
4231132120200331020
51300000000000000
634233100102132
73346002133364
oct553630407510
9150026652302
1048828125000
1119787227016
129568534948
1347b2044c75
142512c422a4
15140ba628d5
hexb5e620f48

48828125000 has 60 divisors (see below), whose sum is σ = 114440917965. Its totient is φ = 19531250000.

The previous prime is 48828124979. The next prime is 48828125051. The reversal of 48828125000 is 52182884.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 34274597956 + 14553527044 = 185134^2 + 120638^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=156250.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9765624998 + ... + 9765625002.

Almost surely, 248828125000 is an apocalyptic number.

48828125000 is a gapful number since it is divisible by the number (40) 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 48828125000

48828125000 is an abundant number, since it is smaller than the sum of its proper divisors (65612792965).

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

48828125000 is an frugal number, since it uses more digits than its factorization.

48828125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The spelling of 48828125000 in words is "forty-eight billion, eight hundred twenty-eight million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 15625 25000 31250 62500 78125 125000 156250 312500 390625 625000 781250 1562500 1953125 3125000 3906250 7812500 9765625 15625000 19531250 39062500 48828125 78125000 97656250 195312500 244140625 390625000 488281250 976562500 1220703125 1953125000 2441406250 4882812500 6103515625 9765625000 12207031250 24414062500 48828125000