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54063438 = 231113237131
BaseRepresentation
bin1100111000111…
…1000101001110
310202201201002120
43032033011032
5102320012223
65210433410
71224350232
oct316170516
9122651076
1054063438
1128576730
1216132866
13b27bb00
1472745c2
154b2dbe3
hex338f14e

54063438 has 96 divisors (see below), whose sum is σ = 132181632. Its totient is φ = 14601600.

The previous prime is 54063407. The next prime is 54063469. The reversal of 54063438 is 83436045.

It is an interprime number because it is at equal distance from previous prime (54063407) and next prime (54063469).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 54063399 and 54063408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412633 + ... + 412763.

It is an arithmetic number, because the mean of its divisors is an integer number (1376892).

Almost surely, 254063438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54063438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66090816).

54063438 is an abundant number, since it is smaller than the sum of its proper divisors (78118194).

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

54063438 is a wasteful number, since it uses less digits than its factorization.

54063438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 54063438 is about 7352.7843705633. The cubic root of 54063438 is about 378.1242697707.

The spelling of 54063438 in words is "fifty-four million, sixty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 131 143 169 222 262 286 338 393 407 429 481 507 786 814 858 962 1014 1221 1441 1443 1703 1859 2442 2882 2886 3406 3718 4323 4847 5109 5291 5577 6253 8646 9694 10218 10582 11154 12506 14541 15873 18733 18759 22139 29082 31746 37466 37518 44278 53317 56199 63011 66417 68783 106634 112398 126022 132834 137566 159951 189033 206349 243529 319902 378066 412698 487058 693121 730587 819143 1386242 1461174 1638286 2079363 2457429 4158726 4914858 9010573 18021146 27031719 54063438