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48475008 = 2732291451
BaseRepresentation
bin1011100011101…
…0101110000000
310101012210012200
42320322232000
544402200013
64450553200
71126013361
oct270725600
9111183180
1048475008
11253a9a9a
1214298800
13a07324a
14661bb68
1543c7e73
hex2e3ab80

48475008 has 96 divisors (see below), whose sum is σ = 144401400. Its totient is φ = 15590400.

The previous prime is 48474991. The next prime is 48475013. The reversal of 48475008 is 80057484.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32683 + ... + 34133.

Almost surely, 248475008 is an apocalyptic number.

48475008 is a gapful number since it is divisible by the number (48) 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 48475008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72200700).

48475008 is an abundant number, since it is smaller than the sum of its proper divisors (95926392).

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

48475008 is a wasteful number, since it uses less digits than its factorization.

48475008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48475008 is about 6962.3995863495. The cubic root of 48475008 is about 364.6190006996.

The spelling of 48475008 in words is "forty-eight million, four hundred seventy-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1451 1856 2088 2784 2902 3712 4176 4353 5568 5804 8352 8706 11136 11608 13059 16704 17412 23216 26118 33408 34824 42079 46432 52236 69648 84158 92864 104472 126237 139296 168316 185728 208944 252474 278592 336632 378711 417888 504948 557184 673264 757422 835776 1009896 1346528 1514844 1671552 2019792 2693056 3029688 4039584 5386112 6059376 8079168 12118752 16158336 24237504 48475008