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54363904 = 287231319
BaseRepresentation
bin1100111101100…
…0011100000000
310210021222020221
43033120130000
5102404121104
65221112424
71230041230
oct317303400
9123258227
1054363904
1128761451
1216258714
13b3557ba
147311cc0
154b8cc54
hex33d8700

54363904 has 72 divisors (see below), whose sum is σ = 129507840. Its totient is φ = 22268928.

The previous prime is 54363899. The next prime is 54363949. The reversal of 54363904 is 40936345.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54363904.

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 7 ways as a sum of consecutive naturals, for example, 40557 + ... + 41875.

It is an arithmetic number, because the mean of its divisors is an integer number (1798720).

Almost surely, 254363904 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 54363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64753920).

54363904 is an abundant number, since it is smaller than the sum of its proper divisors (75143936).

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

54363904 is a wasteful number, since it uses less digits than its factorization.

54363904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 54363904 is about 7373.1881842253. The cubic root of 54363904 is about 378.8234709536.

The spelling of 54363904 in words is "fifty-four million, three hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 644 736 896 1288 1319 1472 1792 2576 2638 2944 5152 5276 5888 9233 10304 10552 18466 20608 21104 30337 36932 41216 42208 60674 73864 84416 121348 147728 168832 212359 242696 295456 337664 424718 485392 590912 849436 970784 1181824 1698872 1941568 2363648 3397744 3883136 6795488 7766272 13590976 27181952 54363904