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38536056 = 23321323167
BaseRepresentation
bin1001001100000…
…0001101111000
32200111211112100
42103000031320
534331123211
63453543400
7645360006
oct223001570
980454470
1038536056
111a830789
1210aa4b60
137ca3400
145191a76
1535b3156
hex24c0378

38536056 has 72 divisors (see below), whose sum is σ = 113050080. Its totient is φ = 11853504.

The previous prime is 38536049. The next prime is 38536061. The reversal of 38536056 is 65063583.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×385360562 = 2970055224070272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38536056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10585 + ... + 13751.

It is an arithmetic number, because the mean of its divisors is an integer number (1570140).

Almost surely, 238536056 is an apocalyptic number.

38536056 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 38536056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56525040).

38536056 is an abundant number, since it is smaller than the sum of its proper divisors (74514024).

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

38536056 is a wasteful number, since it uses less digits than its factorization.

38536056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 38536056 is about 6207.7416183343. The cubic root of 38536056 is about 337.7710481051.

The spelling of 38536056 in words is "thirty-eight million, five hundred thirty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3167 4056 6084 6334 9501 12168 12668 19002 25336 28503 38004 41171 57006 76008 82342 114012 123513 164684 228024 247026 329368 370539 494052 535223 741078 988104 1070446 1482156 1605669 2140892 2964312 3211338 4281784 4817007 6422676 9634014 12845352 19268028 38536056