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54938088 = 2334149569
BaseRepresentation
bin1101000110010…
…0100111101000
310211101010220000
43101210213220
5103031004323
65241303000
71234652232
oct321444750
9124333800
1054938088
1129013887
1216494a60
13b4c6c5a
147421252
154c52e43
hex34649e8

54938088 has 80 divisors (see below), whose sum is σ = 155182500. Its totient is φ = 18157824.

The previous prime is 54938087. The next prime is 54938089. The reversal of 54938088 is 88083945.

54938088 is a `hidden beast` number, since 5 + 493 + 80 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (54938087) and next prime (54938089).

It can be written as a sum of positive squares in 2 ways, for example, as 46539684 + 8398404 = 6822^2 + 2898^2 .

It is not an unprimeable number, because it can be changed into a prime (54938087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96268 + ... + 96836.

Almost surely, 254938088 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 54938088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77591250).

54938088 is an abundant number, since it is smaller than the sum of its proper divisors (100244412).

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

54938088 is a wasteful number, since it uses less digits than its factorization.

54938088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 54938088 is about 7412.0232055762. The cubic root of 54938088 is about 380.1524965040.

The spelling of 54938088 in words is "fifty-four million, nine hundred thirty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 298 324 447 569 596 648 894 1138 1192 1341 1707 1788 2276 2682 3414 3576 4023 4552 5121 5364 6828 8046 10242 10728 12069 13656 15363 16092 20484 24138 30726 32184 40968 46089 48276 61452 84781 92178 96552 122904 169562 184356 254343 339124 368712 508686 678248 763029 1017372 1526058 2034744 2289087 3052116 4578174 6104232 6867261 9156348 13734522 18312696 27469044 54938088