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38054484 = 223213314361
BaseRepresentation
bin1001000100101…
…0101001010100
32122121100221100
42101022221110
534220220414
63435350100
7641313006
oct221125124
978540840
1038054484
111a531996
12108b2330
137b65160
1450a8376
15351a609
hex244aa54

38054484 has 144 divisors (see below), whose sum is σ = 111215104. Its totient is φ = 10886400.

The previous prime is 38054417. The next prime is 38054491. The reversal of 38054484 is 48445083.

38054484 is a `hidden beast` number, since 38 + 0 + 544 + 84 = 666.

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

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, 623814 + ... + 623874.

Almost surely, 238054484 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 38054484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55607552).

38054484 is an abundant number, since it is smaller than the sum of its proper divisors (73160620).

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

38054484 is a wasteful number, since it uses less digits than its factorization.

38054484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 38054484 is about 6168.8316559945. The cubic root of 38054484 is about 336.3581427794.

It can be divided in two parts, 380544 and 84, that added together give a triangular number (380628 = T872).

The spelling of 38054484 in words is "thirty-eight million, fifty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 43 52 61 62 78 86 93 117 122 124 129 156 172 183 186 234 244 258 279 366 372 387 403 468 516 549 558 559 732 774 793 806 1098 1116 1118 1209 1333 1548 1586 1612 1677 1891 2196 2236 2379 2418 2623 2666 3172 3354 3627 3782 3999 4758 4836 5031 5246 5332 5673 6708 7137 7254 7564 7869 7998 9516 10062 10492 11346 11997 14274 14508 15738 15996 17019 17329 20124 22692 23607 23994 24583 28548 31476 34038 34099 34658 47214 47988 49166 51987 68076 68198 69316 73749 81313 94428 98332 102297 103974 136396 147498 155961 162626 204594 207948 221247 243939 294996 306891 311922 325252 409188 442494 487878 613782 623844 731817 884988 975756 1057069 1227564 1463634 2114138 2927268 3171207 4228276 6342414 9513621 12684828 19027242 38054484