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388042092 = 2232193971429
BaseRepresentation
bin10111001000010…
…000110101101100
31000001011120200100
4113020100311230
51243314321332
6102301031100
712421206024
oct2710206554
91001146610
10388042092
1118a048849
12a9b55490
1362515809
1439770a84
152410067c
hex17210d6c

388042092 has 72 divisors (see below), whose sum is σ = 1035834800. Its totient is φ = 122145408.

The previous prime is 388042079. The next prime is 388042093. The reversal of 388042092 is 290240883.

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

It is not an unprimeable number, because it can be changed into a prime (388042093) 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, 270834 + ... + 272262.

Almost surely, 2388042092 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 388042092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517917400).

388042092 is an abundant number, since it is smaller than the sum of its proper divisors (647792708).

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

388042092 is a wasteful number, since it uses less digits than its factorization.

388042092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 388042092 is about 19698.7840233858. The cubic root of 388042092 is about 729.3896769030.

The spelling of 388042092 in words is "three hundred eighty-eight million, forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 397 684 794 1191 1429 1588 2382 2858 3573 4287 4764 5716 7146 7543 8574 12861 14292 15086 17148 22629 25722 27151 30172 45258 51444 54302 67887 81453 90516 108604 135774 162906 244359 271548 325812 488718 567313 977436 1134626 1701939 2269252 3403878 5105817 6807756 10211634 10778947 20423268 21557894 32336841 43115788 64673682 97010523 129347364 194021046 388042092