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48771456 = 2731071187
BaseRepresentation
bin1011101000001…
…1000110000000
310101202211212020
42322003012000
544441141311
64501201440
71131356556
oct272030600
9111684766
1048771456
1125591798
1214400280
13a148166
146697bd6
154435c06
hex2e83180

48771456 has 64 divisors (see below), whose sum is σ = 130870080. Its totient is φ = 16091648.

The previous prime is 48771451. The next prime is 48771473. The reversal of 48771456 is 65417784.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48771451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40495 + ... + 41681.

It is an arithmetic number, because the mean of its divisors is an integer number (2044845).

Almost surely, 248771456 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 48771456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65435040).

48771456 is an abundant number, since it is smaller than the sum of its proper divisors (82098624).

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

48771456 is a wasteful number, since it uses less digits than its factorization.

48771456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1299 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 48771456 is about 6983.6563489336. The cubic root of 48771456 is about 365.3607642157.

The spelling of 48771456 in words is "forty-eight million, seven hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1187 1284 1712 2374 2568 3424 3561 4748 5136 6848 7122 9496 10272 13696 14244 18992 20544 28488 37984 41088 56976 75968 113952 127009 151936 227904 254018 381027 455808 508036 762054 1016072 1524108 2032144 3048216 4064288 6096432 8128576 12192864 16257152 24385728 48771456