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48216096 = 25322329251
BaseRepresentation
bin1011011111101…
…1100000100000
310100201122001100
42313323200200
544320403341
64441234400
71123554465
oct267734040
9110648040
1048216096
1125242515
1214192a00
139cb2446
14659166c
1543763b6
hex2dfb820

48216096 has 144 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 14784000.

The previous prime is 48216079. The next prime is 48216101. The reversal of 48216096 is 69061284.

48216096 is a `hidden beast` number, since 48 + 2 + 1 + 609 + 6 = 666.

48216096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 48216096.

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 23 ways as a sum of consecutive naturals, for example, 191971 + ... + 192221.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 248216096 is an apocalyptic number.

48216096 is a gapful number since it is divisible by the number (46) 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 48216096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

48216096 is an abundant number, since it is smaller than the sum of its proper divisors (100383264).

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

48216096 is a wasteful number, since it uses less digits than its factorization.

48216096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48216096 is about 6943.7811025406. The cubic root of 48216096 is about 363.9686806366.

The spelling of 48216096 in words is "forty-eight million, two hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 48 58 69 72 87 92 96 116 138 144 174 184 207 232 251 261 276 288 348 368 414 464 502 522 552 667 696 736 753 828 928 1004 1044 1104 1334 1392 1506 1656 2001 2008 2088 2208 2259 2668 2784 3012 3312 4002 4016 4176 4518 5336 5773 6003 6024 6624 7279 8004 8032 8352 9036 10672 11546 12006 12048 14558 16008 17319 18072 21344 21837 23092 24012 24096 29116 32016 34638 36144 43674 46184 48024 51957 58232 64032 65511 69276 72288 87348 92368 96048 103914 116464 131022 138552 167417 174696 184736 192096 207828 232928 262044 277104 334834 349392 415656 502251 524088 554208 669668 698784 831312 1004502 1048176 1339336 1506753 1662624 2009004 2096352 2678672 3013506 4018008 5357344 6027012 8036016 12054024 16072032 24108048 48216096