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48345312 = 2531393623
BaseRepresentation
bin1011100001101…
…1000011100000
310100222012022010
42320123003200
544334022222
64444112520
71124633301
oct270330340
9110865263
1048345312
1125320604
1214235740
13a0291c2
1465c67a8
15439e80c
hex2e1b0e0

48345312 has 48 divisors (see below), whose sum is σ = 127854720. Its totient is φ = 15994752.

The previous prime is 48345301. The next prime is 48345313. The reversal of 48345312 is 21354384.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48345312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48345313) by changing a digit.

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, 11533 + ... + 15155.

It is an arithmetic number, because the mean of its divisors is an integer number (2663640).

Almost surely, 248345312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63927360).

48345312 is an abundant number, since it is smaller than the sum of its proper divisors (79509408).

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

48345312 is a wasteful number, since it uses less digits than its factorization.

48345312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3767 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 48345312 is about 6953.0793178275. The cubic root of 48345312 is about 364.2935280798.

Adding to 48345312 its reverse (21354384), we get a palindrome (69699696).

The spelling of 48345312 in words is "forty-eight million, three hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 3623 4448 6672 7246 10869 13344 14492 21738 28984 43476 57968 86952 115936 173904 347808 503597 1007194 1510791 2014388 3021582 4028776 6043164 8057552 12086328 16115104 24172656 48345312