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38678016 = 293132149
BaseRepresentation
bin1001001110001…
…0111000000000
32200210001021010
42103202320000
534400144031
63501000520
7646520616
oct223427000
980701233
1038678016
111a918403
1210b53140
138022c00
1451cb6b6
1535e0246
hex24e2e00

38678016 has 120 divisors (see below), whose sum is σ = 112325400. Its totient is φ = 11821056.

The previous prime is 38677993. The next prime is 38678023. The reversal of 38678016 is 61087683.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259510 + ... + 259658.

It is an arithmetic number, because the mean of its divisors is an integer number (936045).

Almost surely, 238678016 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 38678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56162700).

38678016 is an abundant number, since it is smaller than the sum of its proper divisors (73647384).

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

38678016 is a wasteful number, since it uses less digits than its factorization.

38678016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 38678016 is about 6219.1652172940. The cubic root of 38678016 is about 338.1853027316.

The spelling of 38678016 in words is "thirty-eight million, six hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 149 156 169 192 208 256 298 312 338 384 416 447 507 512 596 624 676 768 832 894 1014 1192 1248 1352 1536 1664 1788 1937 2028 2384 2496 2704 3328 3576 3874 4056 4768 4992 5408 5811 6656 7152 7748 8112 9536 9984 10816 11622 14304 15496 16224 19072 19968 21632 23244 25181 28608 30992 32448 38144 43264 46488 50362 57216 61984 64896 75543 76288 86528 92976 100724 114432 123968 129792 151086 185952 201448 228864 247936 259584 302172 371904 402896 495872 604344 743808 805792 991744 1208688 1487616 1611584 2417376 2975232 3223168 4834752 6446336 9669504 12892672 19339008 38678016