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38849382 = 2351113243
BaseRepresentation
bin1001010000110…
…0101101100110
32201002202100000
42110030231212
534421140012
63504402130
7651133335
oct224145546
981082300
1038849382
111aa25130
1211016346
138082c00
145233d1c
153625ddc
hex250cb66

38849382 has 144 divisors (see below), whose sum is σ = 105513408. Its totient is φ = 10614240.

The previous prime is 38849381. The next prime is 38849387. The reversal of 38849382 is 28394883.

38849382 is a `hidden beast` number, since 3 + 88 + 493 + 82 = 666.

Its product of digits (331776) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38849381) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 903453 + ... + 903495.

It is an arithmetic number, because the mean of its divisors is an integer number (732732).

Almost surely, 238849382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38849382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52756704).

38849382 is an abundant number, since it is smaller than the sum of its proper divisors (66664026).

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

38849382 is a wasteful number, since it uses less digits than its factorization.

38849382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 38849382 is about 6232.9272416739. The cubic root of 38849382 is about 338.6840191386.

It can be divided in two parts, 388 and 49382, that added together give a triangular number (49770 = T315).

The spelling of 38849382 in words is "thirty-eight million, eight hundred forty-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 43 54 66 78 81 86 99 117 129 143 162 169 198 234 243 258 286 297 338 351 387 429 473 486 507 559 594 702 774 858 891 946 1014 1053 1118 1161 1287 1419 1521 1677 1782 1859 2106 2322 2574 2673 2838 3042 3159 3354 3483 3718 3861 4257 4563 5031 5346 5577 6149 6318 6966 7267 7722 8514 9126 10062 10449 11154 11583 12298 12771 13689 14534 15093 16731 18447 20898 21801 23166 25542 27378 30186 33462 34749 36894 38313 41067 43602 45279 50193 55341 65403 69498 76626 79937 82134 90558 100386 110682 114939 130806 135837 150579 159874 166023 196209 229878 239811 271674 301158 332046 392418 451737 479622 498069 588627 719433 903474 996138 1177254 1438866 1494207 1765881 2158299 2988414 3531762 4316598 6474897 12949794 19424691 38849382