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54796000 = 2553719103
BaseRepresentation
bin1101000100000…
…1111011100000
310211002220222111
43101001323200
5103011433000
65234245104
71233521050
oct321017340
9124086874
1054796000
1128a27056
1216426794
13b47738c
1473c5560
154c25cba
hex3441ee0

54796000 has 192 divisors, whose sum is σ = 163537920. Its totient is φ = 17625600.

The previous prime is 54795973. The next prime is 54796009. The reversal of 54796000 is 69745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54796009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531949 + ... + 532051.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 254796000 is an apocalyptic number.

54796000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

54796000 is an abundant number, since it is smaller than the sum of its proper divisors (108741920).

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

54796000 is a wasteful number, since it uses less digits than its factorization.

54796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 54796000 is about 7402.4320327849. The cubic root of 54796000 is about 379.8244803445.

The spelling of 54796000 in words is "fifty-four million, seven hundred ninety-six thousand".