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54980424 = 2333331769
BaseRepresentation
bin1101000110111…
…0111101001000
310211110021222000
43101232331020
5103033333144
65242231000
71235216532
oct321567510
9124407860
1054980424
1129042674
12164b5460
13b5102c5
147432852
154c60769
hex346ef48

54980424 has 64 divisors (see below), whose sum is σ = 153384000. Its totient is φ = 18247680.

The previous prime is 54980423. The next prime is 54980437. The reversal of 54980424 is 42408945.

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

It is not an unprimeable number, because it can be changed into a prime (54980423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71112 + ... + 71880.

It is an arithmetic number, because the mean of its divisors is an integer number (2396625).

Almost surely, 254980424 is an apocalyptic number.

54980424 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 54980424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76692000).

54980424 is an abundant number, since it is smaller than the sum of its proper divisors (98403576).

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

54980424 is a wasteful number, since it uses less digits than its factorization.

54980424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54980424 is about 7414.8785559846. The cubic root of 54980424 is about 380.2501215721.

The spelling of 54980424 in words is "fifty-four million, nine hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 769 993 1324 1538 1986 2307 2648 2979 3076 3972 4614 5958 6152 6921 7944 8937 9228 11916 13842 17874 18456 20763 23832 27684 35748 41526 55368 71496 83052 166104 254539 509078 763617 1018156 1527234 2036312 2290851 3054468 4581702 6108936 6872553 9163404 13745106 18326808 27490212 54980424