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48765780 = 22335721997
BaseRepresentation
bin1011101000000…
…1101101010100
310101202120002000
42322001231110
544441001110
64501115300
71131334200
oct272015524
9111676060
1048765780
11255884a8
12143b8b30
13a1456bb
146695b00
1544341c0
hex2e81b54

48765780 has 288 divisors, whose sum is σ = 187689600. Its totient is φ = 10450944.

The previous prime is 48765751. The next prime is 48765781. The reversal of 48765780 is 8756784.

48765780 is a `hidden beast` number, since 4 + 8 + 76 + 578 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48765781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 502692 + ... + 502788.

It is an arithmetic number, because the mean of its divisors is an integer number (651700).

Almost surely, 248765780 is an apocalyptic number.

48765780 is the 3492-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48765780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844800).

48765780 is an abundant number, since it is smaller than the sum of its proper divisors (138923820).

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

48765780 is a wasteful number, since it uses less digits than its factorization.

48765780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 48765780 is about 6983.2499597251. The cubic root of 48765780 is about 365.3465901589.

The spelling of 48765780 in words is "forty-eight million, seven hundred sixty-five thousand, seven hundred eighty".