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38097108 = 22337223313
BaseRepresentation
bin1001000101010…
…1000011010100
32122200112102000
42101111003110
534223101413
63440315300
7641551200
oct221250324
978615360
1038097108
111a560a15
1210912b30
137b7b68a
1450b9b00
153528073
hex24550d4

38097108 has 144 divisors (see below), whose sum is σ = 120274560. Its totient is φ = 10378368.

The previous prime is 38097091. The next prime is 38097113. The reversal of 38097108 is 80179083.

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, 121560 + ... + 121872.

It is an arithmetic number, because the mean of its divisors is an integer number (835240).

Almost surely, 238097108 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 38097108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60137280).

38097108 is an abundant number, since it is smaller than the sum of its proper divisors (82177452).

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

38097108 is a wasteful number, since it uses less digits than its factorization.

38097108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 38097108 is about 6172.2854762235. The cubic root of 38097108 is about 336.4836784016.

The spelling of 38097108 in words is "thirty-eight million, ninety-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 49 54 63 69 84 92 98 108 126 138 147 161 189 196 207 252 276 294 313 322 378 414 441 483 588 621 626 644 756 828 882 939 966 1127 1242 1252 1323 1449 1764 1878 1932 2191 2254 2484 2646 2817 2898 3381 3756 4347 4382 4508 5292 5634 5796 6573 6762 7199 8451 8694 8764 10143 11268 13146 13524 14398 15337 16902 17388 19719 20286 21597 26292 28796 30429 30674 33804 39438 40572 43194 46011 50393 59157 60858 61348 64791 78876 86388 92022 100786 118314 121716 129582 138033 151179 184044 194373 201572 236628 259164 276066 302358 352751 388746 414099 453537 552132 604716 705502 777492 828198 907074 1058253 1360611 1411004 1656396 1814148 2116506 2721222 3174759 4233012 5442444 6349518 9524277 12699036 19048554 38097108