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48246048 = 2532167521
BaseRepresentation
bin1011100000001…
…0110100100000
310100210011010200
42320002310200
544322333143
64442025200
71124041014
oct270026440
9110704120
1048246048
1125262a74
12141a8200
139cc2c76
14659c544
1543801d3
hex2e02d20

48246048 has 36 divisors (see below), whose sum is σ = 137200518. Its totient is φ = 16081920.

The previous prime is 48246047. The next prime is 48246061. The reversal of 48246048 is 84064284.

48246048 is a `hidden beast` number, since 48 + 2 + 4 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 6411024 = 6468^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×482460482 = 4655362295236608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48246047) 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, 83473 + ... + 84048.

Almost surely, 248246048 is an apocalyptic number.

48246048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48246048 is an abundant number, since it is smaller than the sum of its proper divisors (88954470).

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

48246048 is a wasteful number, since it uses less digits than its factorization.

48246048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167537 (or 167526 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48246048 is about 6945.9375177149. The cubic root of 48246048 is about 364.0440312231.

The spelling of 48246048 in words is "forty-eight million, two hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 167521 335042 502563 670084 1005126 1340168 1507689 2010252 2680336 3015378 4020504 5360672 6030756 8041008 12061512 16082016 24123024 48246048