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38013318 = 2327347131
BaseRepresentation
bin1001000100000…
…0100110000110
32122112021110200
42101000212012
534212411233
63434431330
7641052000
oct221004606
978467420
1038013318
111a503a72
1210892546
137b4c4b5
145097370
15350d313
hex2440986

38013318 has 96 divisors (see below), whose sum is σ = 98841600. Its totient is φ = 10548720.

The previous prime is 38013307. The next prime is 38013323. The reversal of 38013318 is 81331083.

It is a junction number, because it is equal to n+sod(n) for n = 38013291 and 38013300.

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, 290113 + ... + 290243.

It is an arithmetic number, because the mean of its divisors is an integer number (1029600).

Almost surely, 238013318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38013318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49420800).

38013318 is an abundant number, since it is smaller than the sum of its proper divisors (60828282).

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

38013318 is a wasteful number, since it uses less digits than its factorization.

38013318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38013318 is about 6165.4941407806. The cubic root of 38013318 is about 336.2368122226.

The spelling of 38013318 in words is "thirty-eight million, thirteen thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 131 141 147 262 282 294 329 343 393 423 441 658 686 786 846 882 917 987 1029 1179 1834 1974 2058 2303 2358 2751 2961 3087 4606 5502 5922 6157 6174 6419 6909 8253 12314 12838 13818 16121 16506 18471 19257 20727 32242 36942 38514 41454 43099 44933 48363 55413 57771 86198 89866 96726 110826 115542 129297 134799 145089 258594 269598 290178 301693 387891 404397 603386 775782 808794 905079 1810158 2111851 2715237 4223702 5430474 6335553 12671106 19006659 38013318