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48304608 = 25311149307
BaseRepresentation
bin1011100001000…
…1000111100000
310100220010110120
42320101013200
544331221413
64443200240
71124403522
oct270210740
9110803416
1048304608
11252a2a70
1214216080
13a013811
1465b5a12
154392723
hex2e111e0

48304608 has 96 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 14492160.

The previous prime is 48304559. The next prime is 48304639. The reversal of 48304608 is 80640384.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157191 + ... + 157497.

It is an arithmetic number, because the mean of its divisors is an integer number (1455300).

Almost surely, 248304608 is an apocalyptic number.

48304608 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 48304608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

48304608 is an abundant number, since it is smaller than the sum of its proper divisors (91404192).

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

48304608 is a wasteful number, since it uses less digits than its factorization.

48304608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48304608 is about 6950.1516530217. The cubic root of 48304608 is about 364.1912612373.

The spelling of 48304608 in words is "forty-eight million, three hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 149 176 264 298 307 352 447 528 596 614 894 921 1056 1192 1228 1639 1788 1842 2384 2456 3278 3377 3576 3684 4768 4912 4917 6556 6754 7152 7368 9824 9834 10131 13112 13508 14304 14736 19668 20262 26224 27016 29472 39336 40524 45743 52448 54032 78672 81048 91486 108064 137229 157344 162096 182972 274458 324192 365944 503173 548916 731888 1006346 1097832 1463776 1509519 2012692 2195664 3019038 4025384 4391328 6038076 8050768 12076152 16101536 24152304 48304608