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54438976 = 2623311193
BaseRepresentation
bin1100111110101…
…0110001000000
310210102210020101
43033222301000
5102414021401
65222452144
71230503134
oct317526100
9123383211
1054438976
1128802899
1216294054
13b380a17
1473313c4
154ba5101
hex33eac40

54438976 has 56 divisors (see below), whose sum is σ = 116457984. Its totient is φ = 25175040.

The previous prime is 54438961. The next prime is 54438991. The reversal of 54438976 is 67983445.

It is an interprime number because it is at equal distance from previous prime (54438961) and next prime (54438991).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45036 + ... + 46228.

Almost surely, 254438976 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 54438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58228992).

54438976 is an abundant number, since it is smaller than the sum of its proper divisors (62019008).

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

54438976 is a wasteful number, since it uses less digits than its factorization.

54438976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1249 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 54438976 is about 7378.2773057130. The cubic root of 54438976 is about 378.9977652488.

The spelling of 54438976 in words is "fifty-four million, four hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1193 1426 1472 1984 2386 2852 4772 5704 9544 11408 19088 22816 27439 36983 38176 45632 54878 73966 76352 109756 147932 219512 295864 439024 591728 850609 878048 1183456 1701218 1756096 2366912 3402436 6804872 13609744 27219488 54438976