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38128233 = 31113314761
BaseRepresentation
bin1001000101110…
…0101001101001
32122202010002210
42101130221221
534230100413
63441115333
7642041013
oct221345151
978663083
1038128233
111a582340
1210928b49
137b8c8b0
1450c71b3
1535323c3
hex245ca69

38128233 has 64 divisors (see below), whose sum is σ = 63995904. Its totient is φ = 19872000.

The previous prime is 38128217. The next prime is 38128249. The reversal of 38128233 is 33282183.

It is an interprime number because it is at equal distance from previous prime (38128217) and next prime (38128249).

It is not a de Polignac number, because 38128233 - 24 = 38128217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38128233.

It is not an unprimeable number, because it can be changed into a prime (38128213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625023 + ... + 625083.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 238128233 is an apocalyptic number.

38128233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

38128233 is a deficient number, since it is larger than the sum of its proper divisors (25867671).

38128233 is a wasteful number, since it uses less digits than its factorization.

38128233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166.

The product of its digits is 6912, while the sum is 30.

The square root of 38128233 is about 6174.8063127518. The cubic root of 38128233 is about 336.5752881869.

It can be divided in two parts, 38 and 128233, that added together give a triangular number (128271 = T506).

The spelling of 38128233 in words is "thirty-eight million, one hundred twenty-eight thousand, two hundred thirty-three".

Divisors: 1 3 11 13 31 33 39 47 61 93 141 143 183 341 403 429 517 611 671 793 1023 1209 1457 1551 1833 1891 2013 2379 2867 4371 4433 5673 6721 8601 8723 13299 16027 18941 20163 20801 24583 26169 31537 37271 48081 56823 62403 73749 88877 94611 111813 208351 266631 270413 409981 625053 811239 977647 1155401 1229943 2932941 3466203 12709411 38128233