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54465138 = 23271341811
BaseRepresentation
bin1100111111000…
…1001001110010
310210111010010100
43033301021302
5102420341023
65223213230
71230642330
oct317611162
9123433110
1054465138
1128820512
12162a7216
13b38c8c0
14733ab50
154bacc43
hex33f1272

54465138 has 96 divisors (see below), whose sum is σ = 148966272. Its totient is φ = 13996800.

The previous prime is 54465137. The next prime is 54465139. The reversal of 54465138 is 83156445.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54465137) and next prime (54465139).

It is not an unprimeable number, because it can be changed into a prime (54465137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66753 + ... + 67563.

It is an arithmetic number, because the mean of its divisors is an integer number (1551732).

Almost surely, 254465138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54465138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74483136).

54465138 is an abundant number, since it is smaller than the sum of its proper divisors (94501134).

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

54465138 is a wasteful number, since it uses less digits than its factorization.

54465138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 877 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 54465138 is about 7380.0499998306. The cubic root of 54465138 is about 379.0584677842.

The spelling of 54465138 in words is "fifty-four million, four hundred sixty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 78 82 91 117 123 126 182 234 246 273 287 369 533 546 574 738 811 819 861 1066 1599 1622 1638 1722 2433 2583 3198 3731 4797 4866 5166 5677 7299 7462 9594 10543 11193 11354 14598 17031 21086 22386 31629 33251 33579 34062 51093 63258 66502 67158 73801 94887 99753 102186 147602 189774 199506 221403 232757 299259 432263 442806 465514 598518 664209 698271 864526 1296789 1328418 1396542 2094813 2593578 3025841 3890367 4189626 6051682 7780734 9077523 18155046 27232569 54465138