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54139392 = 293231379
BaseRepresentation
bin1100111010000…
…1101000000000
310202212120021200
43032201220000
5102324430032
65212221200
71225114536
oct316415000
9122776250
1054139392
11286187aa
121616a800
13b2a7558
147294156
154b4647c
hex33a1a00

54139392 has 120 divisors (see below), whose sum is σ = 161715840. Its totient is φ = 17418240.

The previous prime is 54139381. The next prime is 54139439. The reversal of 54139392 is 29393145.

It is a happy number.

It is a super-2 number, since 2×541393922 = 5862147532259328, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142659 + ... + 143037.

It is an arithmetic number, because the mean of its divisors is an integer number (1347632).

Almost surely, 254139392 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 54139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80857920).

54139392 is an abundant number, since it is smaller than the sum of its proper divisors (107576448).

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

54139392 is a wasteful number, since it uses less digits than its factorization.

54139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 54139392 is about 7357.9475399054. The cubic root of 54139392 is about 378.3012631491.

The spelling of 54139392 in words is "fifty-four million, one hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 379 384 496 512 558 576 744 758 768 992 1116 1137 1152 1488 1516 1536 1984 2232 2274 2304 2976 3032 3411 3968 4464 4548 4608 5952 6064 6822 7936 8928 9096 11749 11904 12128 13644 15872 17856 18192 23498 23808 24256 27288 35247 35712 36384 46996 47616 48512 54576 70494 71424 72768 93992 97024 105741 109152 140988 142848 145536 187984 194048 211482 218304 281976 291072 375968 422964 436608 563952 582144 751936 845928 873216 1127904 1503872 1691856 1746432 2255808 3007744 3383712 4511616 6015488 6767424 9023232 13534848 18046464 27069696 54139392