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38319696 = 2433107829
BaseRepresentation
bin1001001000101…
…1011001010000
32200002211202000
42102023121100
534302212241
63445154000
7643466142
oct222133120
980084660
1038319696
111a6a3178
12109bb900
137c28a9c
145136c92
15356deb6
hex248b650

38319696 has 80 divisors (see below), whose sum is σ = 111153600. Its totient is φ = 12638592.

The previous prime is 38319667. The next prime is 38319719. The reversal of 38319696 is 69691383.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45810 + ... + 46638.

It is an arithmetic number, because the mean of its divisors is an integer number (1389420).

Almost surely, 238319696 is an apocalyptic number.

38319696 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 38319696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55576800).

38319696 is an abundant number, since it is smaller than the sum of its proper divisors (72833904).

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

38319696 is a wasteful number, since it uses less digits than its factorization.

38319696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 38319696 is about 6190.2904616827. The cubic root of 38319696 is about 337.1377248504.

The spelling of 38319696 in words is "thirty-eight million, three hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 829 856 963 1284 1658 1712 1926 2487 2568 2889 3316 3852 4974 5136 5778 6632 7461 7704 9948 11556 13264 14922 15408 19896 22383 23112 29844 39792 44766 46224 59688 88703 89532 119376 177406 179064 266109 354812 358128 532218 709624 798327 1064436 1419248 1596654 2128872 2394981 3193308 4257744 4789962 6386616 9579924 12773232 19159848 38319696