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38070864 = 2433136779
BaseRepresentation
bin1001000100111…
…0101001010000
32122122012102000
42101032221100
534221231424
63435554000
7641411526
oct221165120
978565360
1038070864
111a543227
12108bb900
137b6c750
1450b0316
1535203c9
hex244ea50

38070864 has 80 divisors (see below), whose sum is σ = 117700800. Its totient is φ = 11712384.

The previous prime is 38070863. The next prime is 38070959. The reversal of 38070864 is 46807083.

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 (38070863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2227 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (1471260).

Almost surely, 238070864 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 38070864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58850400).

38070864 is an abundant number, since it is smaller than the sum of its proper divisors (79629936).

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

38070864 is a wasteful number, since it uses less digits than its factorization.

38070864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38070864 is about 6170.1591551596. The cubic root of 38070864 is about 336.4063960161.

The spelling of 38070864 in words is "thirty-eight million, seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 6779 13558 20337 27116 40674 54232 61011 81348 88127 108464 122022 162696 176254 183033 244044 264381 325392 352508 366066 488088 528762 705016 732132 793143 976176 1057524 1410032 1464264 1586286 2115048 2379429 2928528 3172572 4230096 4758858 6345144 9517716 12690288 19035432 38070864