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38570076 = 2232171931107
BaseRepresentation
bin1001001100100…
…0100001011100
32200120120012100
42103020201130
534333220301
63454405100
7645561126
oct223104134
980516170
1038570076
111a8542a6
1210b00790
137cb5a3c
1451a0216
1535bd286
hex24c885c

38570076 has 144 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 10990080.

The previous prime is 38570071. The next prime is 38570089. The reversal of 38570076 is 67007583.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38570076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38570071) 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, 360415 + ... + 360521.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 238570076 is an apocalyptic number.

38570076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38570076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

38570076 is an abundant number, since it is smaller than the sum of its proper divisors (74648484).

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

38570076 is a wasteful number, since it uses less digits than its factorization.

38570076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 38570076 is about 6210.4811407813. The cubic root of 38570076 is about 337.8704147110.

The spelling of 38570076 in words is "thirty-eight million, five hundred seventy thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 31 34 36 38 51 57 62 68 76 93 102 107 114 124 153 171 186 204 214 228 279 306 321 323 342 372 428 527 558 589 612 642 646 684 963 969 1054 1116 1178 1284 1292 1581 1767 1819 1926 1938 2033 2108 2356 2907 3162 3317 3534 3638 3852 3876 4066 4743 5301 5457 5814 6099 6324 6634 7068 7276 8132 9486 9951 10013 10602 10914 11628 12198 13268 16371 18297 18972 19902 20026 21204 21828 24396 29853 30039 32742 34561 36594 39804 40052 56389 59706 60078 63023 65484 69122 73188 90117 103683 112778 119412 120156 126046 138244 169167 180234 189069 207366 225556 252092 311049 338334 360468 378138 414732 507501 567207 622098 676668 756276 1015002 1071391 1134414 1244196 2030004 2142782 2268828 3214173 4285564 6428346 9642519 12856692 19285038 38570076