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51148944 = 24327211659
BaseRepresentation
bin1100001100011…
…1100010010000
310120020122011100
43003013202100
5101043231234
65024144400
71160521200
oct303074220
9116218140
1051148944
1126965a60
1215168100
13a79b362
146b16400
154755399
hex30c7890

51148944 has 180 divisors, whose sum is σ = 181930320. Its totient is φ = 13265280.

The previous prime is 51148919. The next prime is 51148949. The reversal of 51148944 is 44984115.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51148899 and 51148908.

It is not an unprimeable number, because it can be changed into a prime (51148949) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77287 + ... + 77945.

It is an arithmetic number, because the mean of its divisors is an integer number (1010724).

Almost surely, 251148944 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 51148944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90965160).

51148944 is an abundant number, since it is smaller than the sum of its proper divisors (130781376).

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

51148944 is a wasteful number, since it uses less digits than its factorization.

51148944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 682 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 51148944 is about 7151.8489916944. The cubic root of 51148944 is about 371.2036380564.

It can be divided in two parts, 511 and 48944, that added together give a triangular number (49455 = T314).

The spelling of 51148944 in words is "fifty-one million, one hundred forty-eight thousand, nine hundred forty-four".