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45464448 = 273197601
BaseRepresentation
bin1010110101101…
…1101110000000
310011112211111110
42231123232000
543114330243
64302243320
71061304261
oct255335600
9104484443
1045464448
1123733127
1213286540
13955ab53
146076968
153ed0e33
hex2b5bb80

45464448 has 64 divisors (see below), whose sum is σ = 121579920. Its totient is φ = 15052800.

The previous prime is 45464437. The next prime is 45464483. The reversal of 45464448 is 84446454.

45464448 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 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, 75348 + ... + 75948.

Almost surely, 245464448 is an apocalyptic number.

45464448 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 45464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60789960).

45464448 is an abundant number, since it is smaller than the sum of its proper divisors (76115472).

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

45464448 is a wasteful number, since it uses less digits than its factorization.

45464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its digits is 245760, while the sum is 39.

The square root of 45464448 is about 6742.7329770650. The cubic root of 45464448 is about 356.9088422324.

The spelling of 45464448 in words is "forty-five million, four hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 384 394 591 601 788 1182 1202 1576 1803 2364 2404 3152 3606 4728 4808 6304 7212 9456 9616 12608 14424 18912 19232 25216 28848 37824 38464 57696 75648 76928 115392 118397 230784 236794 355191 473588 710382 947176 1420764 1894352 2841528 3788704 5683056 7577408 11366112 15154816 22732224 45464448