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38087406 = 2327331199
BaseRepresentation
bin1001000101001…
…0101011101110
32122200001002200
42101102223232
534222244111
63440202330
7641511000
oct221225356
978601080
1038087406
111a5546a5
12109093a6
137b77136
1450b6370
153525256
hex2452aee

38087406 has 96 divisors (see below), whose sum is σ = 99840000. Its totient is φ = 10478160.

The previous prime is 38087377. The next prime is 38087447. The reversal of 38087406 is 60478083.

38087406 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 191295 + ... + 191493.

It is an arithmetic number, because the mean of its divisors is an integer number (1040000).

Almost surely, 238087406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38087406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49920000).

38087406 is an abundant number, since it is smaller than the sum of its proper divisors (61752594).

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

38087406 is a wasteful number, since it uses less digits than its factorization.

38087406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38087406 is about 6171.4994936401. The cubic root of 38087406 is about 336.4551124379.

The spelling of 38087406 in words is "thirty-eight million, eighty-seven thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 199 217 279 294 343 398 434 441 558 597 651 686 882 1029 1194 1302 1393 1519 1791 1953 2058 2786 3038 3087 3582 3906 4179 4557 6169 6174 8358 9114 9751 10633 12338 12537 13671 18507 19502 21266 25074 27342 29253 31899 37014 43183 55521 58506 63798 68257 86366 87759 95697 111042 129549 136514 175518 191394 204771 259098 302281 388647 409542 604562 614313 777294 906843 1228626 1813686 2115967 2720529 4231934 5441058 6347901 12695802 19043703 38087406