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48077344 = 257214631
BaseRepresentation
bin1011011101100…
…1101000100000
310100110120201101
42313121220200
544301433334
64434244144
71122436120
oct267315040
9110416641
1048077344
1125158247
1214126654
139c64243
146556c80
15434a214
hex2dd9a20

48077344 has 24 divisors (see below), whose sum is σ = 108174528. Its totient is φ = 20604480.

The previous prime is 48077327. The next prime is 48077357. The reversal of 48077344 is 44377084.

It is a happy number.

It is a super-3 number, since 3×480773443 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107092 + ... + 107539.

It is an arithmetic number, because the mean of its divisors is an integer number (4507272).

Almost surely, 248077344 is an apocalyptic number.

It is an amenable number.

48077344 is an abundant number, since it is smaller than the sum of its proper divisors (60097184).

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

48077344 is a wasteful number, since it uses less digits than its factorization.

48077344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214648 (or 214640 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 48077344 is about 6933.7828059437. The cubic root of 48077344 is about 363.6192129487.

The spelling of 48077344 in words is "forty-eight million, seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 214631 429262 858524 1502417 1717048 3004834 3434096 6009668 6868192 12019336 24038672 48077344