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48365408 = 2571317977
BaseRepresentation
bin1011100001111…
…1111101100000
310101000012212102
42320133331200
544340143113
64444345532
71125046010
oct270377540
9111005772
1048365408
1125334713
12142452a8
13a0353b0
1465cdc40
1543a5758
hex2e1ff60

48365408 has 96 divisors (see below), whose sum is σ = 124213824. Its totient is φ = 17989632.

The previous prime is 48365407. The next prime is 48365419. The reversal of 48365408 is 80456384.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48365407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49016 + ... + 49992.

It is an arithmetic number, because the mean of its divisors is an integer number (1293894).

Almost surely, 248365408 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 48365408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62106912).

48365408 is an abundant number, since it is smaller than the sum of its proper divisors (75848416).

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

48365408 is a wasteful number, since it uses less digits than its factorization.

48365408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 48365408 is about 6954.5242827961. The cubic root of 48365408 is about 364.3439971484.

The spelling of 48365408 in words is "forty-eight million, three hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 272 364 416 442 476 544 728 884 952 977 1456 1547 1768 1904 1954 2912 3094 3536 3808 3908 6188 6839 7072 7816 12376 12701 13678 15632 16609 24752 25402 27356 31264 33218 49504 50804 54712 66436 88907 101608 109424 116263 132872 177814 203216 215917 218848 232526 265744 355628 406432 431834 465052 531488 711256 863668 930104 1422512 1511419 1727336 1860208 2845024 3022838 3454672 3720416 6045676 6909344 12091352 24182704 48365408