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38540208 = 2437196037
BaseRepresentation
bin1001001100000…
…1001110110000
32200112001020010
42103001032300
534331241313
63454014520
7645405060
oct223011660
980461203
1038540208
111a833913
1210aa7440
137ca5275
1451933a0
1535b44c3
hex24c13b0

38540208 has 80 divisors (see below), whose sum is σ = 119793920. Its totient is φ = 10430208.

The previous prime is 38540167. The next prime is 38540213. The reversal of 38540208 is 80204583.

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, 3366 + ... + 9402.

It is an arithmetic number, because the mean of its divisors is an integer number (1497424).

Almost surely, 238540208 is an apocalyptic number.

38540208 is a gapful number since it is divisible by the number (38) 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 38540208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59896960).

38540208 is an abundant number, since it is smaller than the sum of its proper divisors (81253712).

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

38540208 is a wasteful number, since it uses less digits than its factorization.

38540208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38540208 is about 6208.0760304623. The cubic root of 38540208 is about 337.7831785199.

The spelling of 38540208 in words is "thirty-eight million, five hundred forty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6037 6384 12074 18111 24148 36222 42259 48296 72444 84518 96592 114703 126777 144888 169036 229406 253554 289776 338072 344109 458812 507108 676144 688218 802921 917624 1014216 1376436 1605842 1835248 2028432 2408763 2752872 3211684 4817526 5505744 6423368 9635052 12846736 19270104 38540208