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48127248 = 24321347547
BaseRepresentation
bin1011011110010…
…1110100010000
310100120010011200
42313211310100
544310032443
64435311200
71123034451
oct267456420
9110503150
1048127248
1125191794
121414b500
139c80b80
14656b128
154359dd3
hex2de5d10

48127248 has 120 divisors (see below), whose sum is σ = 148407168. Its totient is φ = 14466816.

The previous prime is 48127241. The next prime is 48127249. The reversal of 48127248 is 84272184.

48127248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×481272483 (a number of 24 digits) contains 333 as substring.

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 (48127241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87711 + ... + 88257.

Almost surely, 248127248 is an apocalyptic number.

48127248 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 48127248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74203584).

48127248 is an abundant number, since it is smaller than the sum of its proper divisors (100279920).

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

48127248 is a wasteful number, since it uses less digits than its factorization.

48127248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

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

The square root of 48127248 is about 6937.3804854570. The cubic root of 48127248 is about 363.7449809773.

The spelling of 48127248 in words is "forty-eight million, one hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 547 564 611 624 752 846 936 1094 1128 1222 1641 1692 1833 1872 2188 2256 2444 3282 3384 3666 4376 4888 4923 5499 6564 6768 7111 7332 8752 9776 9846 10998 13128 14222 14664 19692 21333 21996 25709 26256 28444 29328 39384 42666 43992 51418 56888 63999 77127 78768 85332 87984 102836 113776 127998 154254 170664 205672 231381 255996 308508 334217 341328 411344 462762 511992 617016 668434 925524 1002651 1023984 1234032 1336868 1851048 2005302 2673736 3007953 3702096 4010604 5347472 6015906 8021208 12031812 16042416 24063624 48127248