Search a number
-
+
48615216 = 243133461
BaseRepresentation
bin1011100101110…
…0111100110000
310101110220112120
42321130330300
544421141331
64453554240
71130136216
oct271347460
9111426476
1048615216
1125495371
1214345980
13a0c2000
146656cb6
154404796
hex2e5cf30

48615216 has 80 divisors (see below), whose sum is σ = 136345440. Its totient is φ = 14926080.

The previous prime is 48615211. The next prime is 48615221. The reversal of 48615216 is 61251684.

It is an interprime number because it is at equal distance from previous prime (48615211) and next prime (48615221).

It is not an unprimeable number, because it can be changed into a prime (48615211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105226 + ... + 105686.

It is an arithmetic number, because the mean of its divisors is an integer number (1704318).

Almost surely, 248615216 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 48615216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68172720).

48615216 is an abundant number, since it is smaller than the sum of its proper divisors (87730224).

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

48615216 is a wasteful number, since it uses less digits than its factorization.

48615216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 479 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 48615216 is about 6972.4612584080. The cubic root of 48615216 is about 364.9702008574.

The spelling of 48615216 in words is "forty-eight million, six hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 461 507 624 676 922 1014 1352 1383 1844 2028 2197 2704 2766 3688 4056 4394 5532 5993 6591 7376 8112 8788 11064 11986 13182 17576 17979 22128 23972 26364 35152 35958 47944 52728 71916 77909 95888 105456 143832 155818 233727 287664 311636 467454 623272 934908 1012817 1246544 1869816 2025634 3038451 3739632 4051268 6076902 8102536 12153804 16205072 24307608 48615216