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38063136 = 2531783281
BaseRepresentation
bin1001000100110…
…0110000100000
32122121210210210
42101030300200
534221010021
63435454120
7641350146
oct221146040
978553723
1038063136
111a538441
12108b7340
137b69087
1450ab596
15351ce76
hex244cc20

38063136 has 96 divisors (see below), whose sum is σ = 107448768. Its totient is φ = 11755520.

The previous prime is 38063117. The next prime is 38063143. The reversal of 38063136 is 63136083.

It is a tau number, because it is divible by the number of its divisors (96).

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, 135316 + ... + 135596.

It is an arithmetic number, because the mean of its divisors is an integer number (1119258).

Almost surely, 238063136 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 38063136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53724384).

38063136 is an abundant number, since it is smaller than the sum of its proper divisors (69385632).

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

38063136 is a wasteful number, since it uses less digits than its factorization.

38063136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 38063136 is about 6169.5328834524. The cubic root of 38063136 is about 336.3836321114.

The spelling of 38063136 in words is "thirty-eight million, sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 83 96 102 136 166 204 249 272 281 332 408 498 544 562 664 816 843 996 1124 1328 1411 1632 1686 1992 2248 2656 2822 3372 3984 4233 4496 4777 5644 6744 7968 8466 8992 9554 11288 13488 14331 16932 19108 22576 23323 26976 28662 33864 38216 45152 46646 57324 67728 69969 76432 93292 114648 135456 139938 152864 186584 229296 279876 373168 396491 458592 559752 746336 792982 1119504 1189473 1585964 2239008 2378946 3171928 4757892 6343856 9515784 12687712 19031568 38063136