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54394944 = 263491577
BaseRepresentation
bin1100111110000…
…0000001000000
310210100112211120
43033200001000
5102411114234
65221512240
71230230562
oct317400100
9123315746
1054394944
11287827aa
1216272680
13b366976
14731d332
154b97049
hex33e0040

54394944 has 56 divisors (see below), whose sum is σ = 144463008. Its totient is φ = 18063360.

The previous prime is 54394943. The next prime is 54394961. The reversal of 54394944 is 44949345.

It is a junction number, because it is equal to n+sod(n) for n = 54394896 and 54394905.

It is not an unprimeable number, because it can be changed into a prime (54394943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93984 + ... + 94560.

Almost surely, 254394944 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 54394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72231504).

54394944 is an abundant number, since it is smaller than the sum of its proper divisors (90068064).

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

54394944 is a wasteful number, since it uses less digits than its factorization.

54394944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 54394944 is about 7375.2928077467. The cubic root of 54394944 is about 378.8955558141.

The spelling of 54394944 in words is "fifty-four million, three hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 491 577 982 1154 1473 1731 1964 2308 2946 3462 3928 4616 5892 6924 7856 9232 11784 13848 15712 18464 23568 27696 31424 36928 47136 55392 94272 110784 283307 566614 849921 1133228 1699842 2266456 3399684 4532912 6799368 9065824 13598736 18131648 27197472 54394944