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48684192 = 25317231297
BaseRepresentation
bin1011100110110…
…1110010100000
310101121102011020
42321231302200
544430343232
64455245440
71130544264
oct271556240
9111542136
1048684192
1125532177
1214379880
13a11751b
1466740a4
154419e2c
hex2e6dca0

48684192 has 96 divisors (see below), whose sum is σ = 141305472. Its totient is φ = 14598144.

The previous prime is 48684191. The next prime is 48684197. The reversal of 48684192 is 29148684.

48684192 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 (96).

It is not an unprimeable number, because it can be changed into a prime (48684191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36888 + ... + 38184.

It is an arithmetic number, because the mean of its divisors is an integer number (1471932).

Almost surely, 248684192 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 48684192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70652736).

48684192 is an abundant number, since it is smaller than the sum of its proper divisors (92621280).

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

48684192 is a wasteful number, since it uses less digits than its factorization.

48684192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 48684192 is about 6977.4058216503. The cubic root of 48684192 is about 365.1427276928.

The spelling of 48684192 in words is "forty-eight million, six hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 368 391 408 544 552 736 782 816 1104 1173 1297 1564 1632 2208 2346 2594 3128 3891 4692 5188 6256 7782 9384 10376 12512 15564 18768 20752 22049 29831 31128 37536 41504 44098 59662 62256 66147 88196 89493 119324 124512 132294 176392 178986 238648 264588 352784 357972 477296 507127 529176 705568 715944 954592 1014254 1058352 1431888 1521381 2028508 2116704 2863776 3042762 4057016 6085524 8114032 12171048 16228064 24342096 48684192