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38155068 = 223272329227
BaseRepresentation
bin1001000110001…
…1001100111100
32122210110220200
42101203030330
534231430233
63441443500
7642212160
oct221431474
978713820
1038155068
111a5a0516
1210940590
137b9bb83
1450d2ca0
15353a313
hex246333c

38155068 has 144 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 10023552.

The previous prime is 38155063. The next prime is 38155069. The reversal of 38155068 is 86055183.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38155063) 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, 167971 + ... + 168197.

It is an arithmetic number, because the mean of its divisors is an integer number (829920).

Almost surely, 238155068 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 38155068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

38155068 is an abundant number, since it is smaller than the sum of its proper divisors (81353412).

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

38155068 is a wasteful number, since it uses less digits than its factorization.

38155068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 38155068 is about 6176.9788732033. The cubic root of 38155068 is about 336.6542312609.

The spelling of 38155068 in words is "thirty-eight million, one hundred fifty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 29 36 42 46 58 63 69 84 87 92 116 126 138 161 174 203 207 227 252 261 276 322 348 406 414 454 483 522 609 644 667 681 812 828 908 966 1044 1218 1334 1362 1449 1589 1827 1932 2001 2043 2436 2668 2724 2898 3178 3654 4002 4086 4669 4767 5221 5796 6003 6356 6583 7308 8004 8172 9338 9534 10442 12006 13166 14007 14301 15663 18676 19068 19749 20884 24012 26332 28014 28602 31326 36547 39498 42021 46081 46989 56028 57204 59247 62652 73094 78996 84042 92162 93978 109641 118494 138243 146188 151409 168084 184324 187956 219282 236988 276486 302818 328923 414729 438564 454227 552972 605636 657846 829458 908454 1059863 1315692 1362681 1658916 1816908 2119726 2725362 3179589 4239452 5450724 6359178 9538767 12718356 19077534 38155068