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48201216 = 29374483
BaseRepresentation
bin1011011111011…
…1111000000000
310100200212122020
42313313320000
544314414331
64441041440
71123463220
oct267677000
9110625566
1048201216
1125232318
1214186280
139ca873b
14658a080
154371c96
hex2df7e00

48201216 has 80 divisors (see below), whose sum is σ = 146788224. Its totient is φ = 13768704.

The previous prime is 48201211. The next prime is 48201229. The reversal of 48201216 is 61210284.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48201211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8511 + ... + 12993.

Almost surely, 248201216 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 48201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73394112).

48201216 is an abundant number, since it is smaller than the sum of its proper divisors (98587008).

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

48201216 is an equidigital number, since it uses as much as digits as its factorization.

48201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48201216 is about 6942.7095575143. The cubic root of 48201216 is about 363.9312352491.

The spelling of 48201216 in words is "forty-eight million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 4483 5376 8966 10752 13449 17932 26898 31381 35864 53796 62762 71728 94143 107592 125524 143456 188286 215184 251048 286912 376572 430368 502096 573824 753144 860736 1004192 1147648 1506288 1721472 2008384 2295296 3012576 3442944 4016768 6025152 6885888 8033536 12050304 16067072 24100608 48201216