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45694848 = 273196263
BaseRepresentation
bin1010111001001…
…1111110000000
310011222112112210
42232103332000
543144213343
64311222120
71063254063
oct256237600
9104875483
1045694848
1123880241
1213377940
13960b994
1460d68da
154029333
hex2b93f80

45694848 has 64 divisors (see below), whose sum is σ = 127785600. Its totient is φ = 14427648.

The previous prime is 45694823. The next prime is 45694877. The reversal of 45694848 is 84849654.

45694848 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45694797 and 45694806.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4165 + ... + 10427.

It is an arithmetic number, because the mean of its divisors is an integer number (1996650).

Almost surely, 245694848 is an apocalyptic number.

45694848 is a gapful number since it is divisible by the number (48) 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 45694848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63892800).

45694848 is an abundant number, since it is smaller than the sum of its proper divisors (82090752).

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

45694848 is a wasteful number, since it uses less digits than its factorization.

45694848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6287 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 45694848 is about 6759.7964466395. The cubic root of 45694848 is about 357.5107284830.

The spelling of 45694848 in words is "forty-five million, six hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 6263 7296 12526 18789 25052 37578 50104 75156 100208 118997 150312 200416 237994 300624 356991 400832 475988 601248 713982 801664 951976 1202496 1427964 1903952 2404992 2855928 3807904 5711856 7615808 11423712 15231616 22847424 45694848