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147282048 = 2732127849
BaseRepresentation
bin10001100011101…
…01100010000000
3101021010200222200
420301311202000
5300201011143
622340433200
73435606504
oct1061654200
9337120880
10147282048
1176156201
12413a8800
1324689a54
14157bc304
15cde41d3
hex8c75880

147282048 has 48 divisors (see below), whose sum is σ = 423822750. Its totient is φ = 49093632.

The previous prime is 147282043. The next prime is 147282059. The reversal of 147282048 is 840282741.

It can be written as a sum of positive squares in only one way, i.e., 81866304 + 65415744 = 9048^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (147282043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62773 + ... + 65076.

Almost surely, 2147282048 is an apocalyptic number.

147282048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

147282048 is an abundant number, since it is smaller than the sum of its proper divisors (276540702).

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

147282048 is a wasteful number, since it uses less digits than its factorization.

147282048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127869 (or 127854 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 147282048 is about 12135.9815425041. The cubic root of 147282048 is about 528.1005318216.

The spelling of 147282048 in words is "one hundred forty-seven million, two hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 127849 255698 383547 511396 767094 1022792 1150641 1534188 2045584 2301282 3068376 4091168 4602564 6136752 8182336 9205128 12273504 16364672 18410256 24547008 36820512 49094016 73641024 147282048