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48015327376 = 2429218892
BaseRepresentation
bin101100101101111011…
…111100000010010000
311120221021022100121101
4230231323330002100
51241313410434001
634020303034144
73316602356122
oct545573740220
9146837270541
1048015327376
11193aa445145
12938029b954
1346b2831023
142476d05212
1513b050da01
hexb2defc090

48015327376 has 45 divisors (see below), whose sum is σ = 96399267211. Its totient is φ = 23167542272.

The previous prime is 48015327361. The next prime is 48015327377. The reversal of 48015327376 is 67372351084.

It is a happy number.

The square root of 48015327376 is 219124.

It is a perfect power (a square), and thus also a powerful number.

48015327376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1752976 + 48013574400 = 1324^2 + 219120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48015327377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25417440 + ... + 25419328.

Almost surely, 248015327376 is an apocalyptic number.

48015327376 is the 219124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48015327376

48015327376 is an abundant number, since it is smaller than the sum of its proper divisors (48383939835).

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

48015327376 is an frugal number, since it uses more digits than its factorization.

48015327376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 48015327376 in words is "forty-eight billion, fifteen million, three hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 1889 3364 3778 6728 7556 13456 15112 30224 54781 109562 219124 438248 876496 1588649 3177298 3568321 6354596 7136642 12709192 14273284 25418384 28546568 57093136 103481309 206962618 413925236 827850472 1655700944 3000957961 6001915922 12003831844 24007663688 48015327376