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38116788 = 22317229379
BaseRepresentation
bin1001000101100…
…1110110110100
32122201112101220
42101121312310
534224214123
63440550340
7641662443
oct221316664
978645356
1038116788
111a574786
12109223b0
137b87618
1450c2d5a
15352dce3
hex2459db4

38116788 has 72 divisors (see below), whose sum is σ = 97994400. Its totient is φ = 11515392.

The previous prime is 38116787. The next prime is 38116823. The reversal of 38116788 is 88761183.

38116788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38116781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100383 + ... + 100761.

Almost surely, 238116788 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 38116788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48997200).

38116788 is an abundant number, since it is smaller than the sum of its proper divisors (59877612).

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

38116788 is a wasteful number, since it uses less digits than its factorization.

38116788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 38116788 is about 6173.8794934790. The cubic root of 38116788 is about 336.5416080732.

The spelling of 38116788 in words is "thirty-eight million, one hundred sixteen thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 289 348 379 493 578 758 867 986 1137 1156 1479 1516 1734 1972 2274 2958 3468 4548 5916 6443 8381 10991 12886 16762 19329 21982 25143 25772 32973 33524 38658 43964 50286 65946 77316 100572 109531 131892 186847 219062 328593 373694 438124 560541 657186 747388 1121082 1314372 2242164 3176399 6352798 9529197 12705596 19058394 38116788