Search a number
-
+
40128738 = 23131753571
BaseRepresentation
bin1001100100010…
…1000011100010
32210111202021120
42121011003202
540233104423
63552033110
7665042256
oct231050342
983452246
1040128738
1120719351
1211532796
138410320
145488266
1537c9ee3
hex26450e2

40128738 has 64 divisors (see below), whose sum is σ = 93405312. Its totient is φ = 11381760.

The previous prime is 40128733. The next prime is 40128769. The reversal of 40128738 is 83782104.

It is a super-2 number, since 2×401287382 = 3220631226945288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40128699 and 40128708.

It is not an unprimeable number, because it can be changed into a prime (40128731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69993 + ... + 70563.

It is an arithmetic number, because the mean of its divisors is an integer number (1459458).

Almost surely, 240128738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40128738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

40128738 is an abundant number, since it is smaller than the sum of its proper divisors (53276574).

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

40128738 is a wasteful number, since it uses less digits than its factorization.

40128738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 40128738 is about 6334.7247769733. The cubic root of 40128738 is about 342.3616945622.

It can be divided in two parts, 40 and 128738, that added together give a triangular number (128778 = T507).

The spelling of 40128738 in words is "forty million, one hundred twenty-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 53 78 102 106 159 221 318 442 571 663 689 901 1142 1326 1378 1713 1802 2067 2703 3426 4134 5406 7423 9707 11713 14846 19414 22269 23426 29121 30263 35139 44538 58242 60526 70278 90789 126191 181578 252382 378573 393419 514471 757146 786838 1028942 1180257 1543413 2360514 3086826 6688123 13376246 20064369 40128738