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48228544 = 2673133
BaseRepresentation
bin1011011111111…
…0100011000000
310100202021010101
42313332203000
544321303134
64441412144
71123636000
oct267764300
9110667111
1048228544
1125250901
121419a054
139cb8000
146596000
154379e14
hex2dfe8c0

48228544 has 112 divisors (see below), whose sum is σ = 120904000. Its totient is φ = 19079424.

The previous prime is 48228461. The next prime is 48228553. The reversal of 48228544 is 44582284.

The cubic root of 48228544 is 364.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3709882 + ... + 3709894.

It is an arithmetic number, because the mean of its divisors is an integer number (1079500).

Almost surely, 248228544 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 48228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60452000).

48228544 is an abundant number, since it is smaller than the sum of its proper divisors (72675456).

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

48228544 is an frugal number, since it uses more digits than its factorization.

48228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 22 counting only the distinct ones).

The product of its digits is 81920, while the sum is 37.

The square root of 48228544 is about 6944.6773863154.

It can be divided in two parts, 4822 and 8544, that added together give a triangular number (13366 = T163).

The spelling of 48228544 in words is "forty-eight million, two hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 169 182 196 208 224 338 343 364 392 416 448 637 676 686 728 784 832 1183 1274 1352 1372 1456 1568 2197 2366 2548 2704 2744 2912 3136 4394 4459 4732 5096 5408 5488 5824 8281 8788 8918 9464 10192 10816 10976 15379 16562 17576 17836 18928 20384 21952 30758 33124 35152 35672 37856 40768 57967 61516 66248 70304 71344 75712 107653 115934 123032 132496 140608 142688 215306 231868 246064 264992 285376 430612 463736 492128 529984 753571 861224 927472 984256 1507142 1722448 1854944 3014284 3444896 3709888 6028568 6889792 12057136 24114272 48228544