Search a number
-
+
48446472 = 23329471481
BaseRepresentation
bin1011100011001…
…1110000001000
310101011100001210
42320303300020
544400241342
64450213120
71125534234
oct270636010
9111140053
1048446472
112538a608
12142841a0
13a063269
1466115c4
1543be79c
hex2e33c08

48446472 has 64 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 15249920.

The previous prime is 48446471. The next prime is 48446473. The reversal of 48446472 is 27464484.

It is an interprime number because it is at equal distance from previous prime (48446471) and next prime (48446473).

It is a self number, because there is not a number n which added to its sum of digits gives 48446472.

It is not an unprimeable number, because it can be changed into a prime (48446471) 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 15 ways as a sum of consecutive naturals, for example, 31972 + ... + 33452.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 248446472 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 48446472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

48446472 is an abundant number, since it is smaller than the sum of its proper divisors (79598328).

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

48446472 is a wasteful number, since it uses less digits than its factorization.

48446472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1562 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 48446472 is about 6960.3499912002. The cubic root of 48446472 is about 364.5474393557.

The spelling of 48446472 in words is "forty-eight million, four hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 141 174 188 232 282 348 376 564 696 1128 1363 1481 2726 2962 4089 4443 5452 5924 8178 8886 10904 11848 16356 17772 32712 35544 42949 69607 85898 128847 139214 171796 208821 257694 278428 343592 417642 515388 556856 835284 1030776 1670568 2018603 4037206 6055809 8074412 12111618 16148824 24223236 48446472