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54931338 = 23371121201
BaseRepresentation
bin1101000110001…
…0111110001010
310211100210122000
43101202332022
5103030300323
65241211430
71234623450
oct321427612
9124323560
1054931338
1129009800
1216490b76
13b4c3b67
14741c9d0
154c50e43
hex3462f8a

54931338 has 96 divisors (see below), whose sum is σ = 153471360. Its totient is φ = 14256000.

The previous prime is 54931277. The next prime is 54931361. The reversal of 54931338 is 83313945.

54931338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45138 + ... + 46338.

It is an arithmetic number, because the mean of its divisors is an integer number (1598660).

Almost surely, 254931338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54931338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76735680).

54931338 is an abundant number, since it is smaller than the sum of its proper divisors (98540022).

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

54931338 is a wasteful number, since it uses less digits than its factorization.

54931338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1224 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 54931338 is about 7411.5678503269. The cubic root of 54931338 is about 380.1369266475.

The spelling of 54931338 in words is "fifty-four million, nine hundred thirty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 594 693 726 847 1089 1201 1386 1694 2079 2178 2402 2541 3267 3603 4158 5082 6534 7206 7623 8407 10809 13211 15246 16814 21618 22869 25221 26422 32427 39633 45738 50442 64854 75663 79266 92477 118899 145321 151326 184954 226989 237798 277431 290642 356697 435963 453978 554862 713394 832293 871926 1017247 1307889 1664586 2034494 2496879 2615778 3051741 3923667 4993758 6103482 7847334 9155223 18310446 27465669 54931338