Search a number
-
+
39792631424 = 277136750989
BaseRepresentation
bin100101000011110100…
…110101111010000000
310210201012212010021212
4211003310311322000
51122443403201144
630140330105252
72606045533460
oct450364657200
9123635763255
1039792631424
111596a9a2a57
12786657b228
1339a2118370
141cd6c2bba0
15107d6c449e
hex943d35e80

39792631424 has 128 divisors (see below), whose sum is σ = 99026659200. Its totient is φ = 15506878464.

The previous prime is 39792631409. The next prime is 39792631429. The reversal of 39792631424 is 42413629793.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (39792631429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754922 + ... + 805910.

It is an arithmetic number, because the mean of its divisors is an integer number (773645775).

Almost surely, 239792631424 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 39792631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49513329600).

39792631424 is an abundant number, since it is smaller than the sum of its proper divisors (59234027776).

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

39792631424 is a wasteful number, since it uses less digits than its factorization.

39792631424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51090 (or 51078 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 50.

The spelling of 39792631424 in words is "thirty-nine billion, seven hundred ninety-two million, six hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 67 91 104 112 128 134 182 208 224 268 364 416 448 469 536 728 832 871 896 938 1072 1456 1664 1742 1876 2144 2912 3484 3752 4288 5824 6097 6968 7504 8576 11648 12194 13936 15008 24388 27872 30016 48776 50989 55744 60032 97552 101978 111488 195104 203956 356923 390208 407912 662857 713846 780416 815824 1325714 1427692 1631648 2651428 2855384 3263296 3416263 4639999 5302856 5710768 6526592 6832526 9279998 10605712 11421536 13665052 18559996 21211424 22843072 23913841 27330104 37119992 42422848 44411419 45686144 47827682 54660208 74239984 84845696 88822838 95655364 109320416 148479968 177645676 191310728 218640832 296959936 310879933 355291352 382621456 437281664 593919872 621759866 710582704 765242912 1243519732 1421165408 1530485824 2487039464 2842330816 3060971648 4974078928 5684661632 9948157856 19896315712 39792631424