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48137792 = 2619311277
BaseRepresentation
bin1011011110100…
…0011001000000
310100120122122012
42313220121000
544310402132
64435432052
71123110263
oct267503100
9110518565
1048137792
11251996aa
1214155628
139c85901
146570cda
15435d0b2
hex2de8640

48137792 has 56 divisors (see below), whose sum is σ = 103875840. Its totient is φ = 22049280.

The previous prime is 48137783. The next prime is 48137797. The reversal of 48137792 is 29773184.

It is not an unprimeable number, because it can be changed into a prime (48137797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37058 + ... + 38334.

Almost surely, 248137792 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 48137792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51937920).

48137792 is an abundant number, since it is smaller than the sum of its proper divisors (55738048).

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

48137792 is a wasteful number, since it uses less digits than its factorization.

48137792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1329 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 48137792 is about 6938.1403848582. The cubic root of 48137792 is about 363.7715428328.

The spelling of 48137792 in words is "forty-eight million, one hundred thirty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 589 608 992 1178 1216 1277 1984 2356 2554 4712 5108 9424 10216 18848 20432 24263 37696 39587 40864 48526 79174 81728 97052 158348 194104 316696 388208 633392 752153 776416 1266784 1504306 1552832 2533568 3008612 6017224 12034448 24068896 48137792