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54903744 = 263471789
BaseRepresentation
bin1101000101110…
…0001111000000
310211022101210000
43101130033000
5103023404434
65240440000
71234450140
oct321341700
9124271700
1054903744
1128a9aaa5
1216479000
13b4b442c
147412920
154c47b99
hex345c3c0

54903744 has 280 divisors, whose sum is σ = 199156320. Its totient is φ = 14598144.

The previous prime is 54903713. The next prime is 54903763. The reversal of 54903744 is 44730945.

It is a super-2 number, since 2×549037442 = 6028842210435072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 54903699 and 54903708.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 616852 + ... + 616940.

Almost surely, 254903744 is an apocalyptic number.

54903744 is a gapful number since it is divisible by the number (54) 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 54903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578160).

54903744 is an abundant number, since it is smaller than the sum of its proper divisors (144252576).

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

54903744 is a wasteful number, since it uses less digits than its factorization.

54903744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54903744 is about 7409.7060670448. The cubic root of 54903744 is about 380.0732638055.

It can be divided in two parts, 549037 and 44, that added together give a square (549081 = 7412).

The spelling of 54903744 in words is "fifty-four million, nine hundred three thousand, seven hundred forty-four".