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48393312 = 2531145827
BaseRepresentation
bin1011100010011…
…0110001100000
310101001122010220
42320212301200
544342041222
64445123040
71125223242
oct270466140
9111048126
1048393312
1125353680
1214259480
13a044cc6
1465da092
1543adb5c
hex2e26c60

48393312 has 48 divisors (see below), whose sum is σ = 138583872. Its totient is φ = 14664320.

The previous prime is 48393287. The next prime is 48393337. The reversal of 48393312 is 21339384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48393287) and next prime (48393337).

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 (33) 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21858 + ... + 23969.

It is an arithmetic number, because the mean of its divisors is an integer number (2887164).

Almost surely, 248393312 is an apocalyptic number.

It is an amenable number.

48393312 is an abundant number, since it is smaller than the sum of its proper divisors (90190560).

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

48393312 is a wasteful number, since it uses less digits than its factorization.

48393312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45851 (or 45843 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 48393312 is about 6956.5301695601. The cubic root of 48393312 is about 364.4140520406.

The spelling of 48393312 in words is "forty-eight million, three hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 45827 91654 137481 183308 274962 366616 504097 549924 733232 1008194 1099848 1466464 1512291 2016388 2199696 3024582 4032776 4399392 6049164 8065552 12098328 16131104 24196656 48393312