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38216256 = 2631361251
BaseRepresentation
bin1001000111001…
…0001001000000
32122220120211220
42101302021000
534240410011
63443035040
7642555441
oct221621100
978816756
1038216256
111a632491
121096ba80
137bc0990
14510b2c8
15354d506
hex2472240

38216256 has 112 divisors (see below), whose sum is σ = 111117888. Its totient is φ = 11520000.

The previous prime is 38216251. The next prime is 38216263. The reversal of 38216256 is 65261283.

It is not an unprimeable number, because it can be changed into a prime (38216251) 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, 152131 + ... + 152381.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 238216256 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 38216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55558944).

38216256 is an abundant number, since it is smaller than the sum of its proper divisors (72901632).

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

38216256 is a wasteful number, since it uses less digits than its factorization.

38216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 38216256 is about 6181.9297957838. The cubic root of 38216256 is about 336.8340955058.

The spelling of 38216256 in words is "thirty-eight million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 251 312 366 416 488 502 624 732 753 793 832 976 1004 1248 1464 1506 1586 1952 2008 2379 2496 2928 3012 3172 3263 3904 4016 4758 5856 6024 6344 6526 8032 9516 9789 11712 12048 12688 13052 15311 16064 19032 19578 24096 25376 26104 30622 38064 39156 45933 48192 50752 52208 61244 76128 78312 91866 104416 122488 152256 156624 183732 199043 208832 244976 313248 367464 398086 489952 597129 626496 734928 796172 979904 1194258 1469856 1592344 2388516 2939712 3184688 4777032 6369376 9554064 12738752 19108128 38216256