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48043728 = 2432437759
BaseRepresentation
bin1011011101000…
…1011011010000
310100101212121100
42313101123100
544244344403
64433424400
71122236115
oct267213320
9110355540
1048043728
1125134a67
121410b100
139c51b55
14654890c
1543402a3
hex2dd16d0

48043728 has 60 divisors (see below), whose sum is σ = 137600320. Its totient is φ = 15640128.

The previous prime is 48043687. The next prime is 48043733. The reversal of 48043728 is 82734084.

48043728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 48043692 and 48043701.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2313 + ... + 10071.

Almost surely, 248043728 is an apocalyptic number.

48043728 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 48043728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68800160).

48043728 is an abundant number, since it is smaller than the sum of its proper divisors (89556592).

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

48043728 is a wasteful number, since it uses less digits than its factorization.

48043728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7816 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48043728 is about 6931.3583084414. The cubic root of 48043728 is about 363.5344448615.

The spelling of 48043728 in words is "forty-eight million, forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 7759 15518 23277 31036 46554 62072 69831 93108 124144 139662 186216 279324 333637 372432 558648 667274 1000911 1117296 1334548 2001822 2669096 3002733 4003644 5338192 6005466 8007288 12010932 16014576 24021864 48043728