Search a number
-
+
9245629952 = 29132236229
BaseRepresentation
bin10001001110001010…
…10001111000000000
3212212100021122221222
420213011101320000
5122413340124302
64125233534212
7445054362236
oct104705217000
925770248858
109245629952
113a14a0a699
121960414368
13b44622870
14639cb4956
15391a4ada2
hex227151e00

9245629952 has 80 divisors (see below), whose sum is σ = 19986637440. Its totient is φ = 4247396352.

The previous prime is 9245629951. The next prime is 9245629961. The reversal of 9245629952 is 2599265429.

It is a junction number, because it is equal to n+sod(n) for n = 9245629894 and 9245629903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9245629951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1481174 + ... + 1487402.

It is an arithmetic number, because the mean of its divisors is an integer number (249832968).

Almost surely, 29245629952 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 9245629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993318720).

9245629952 is an abundant number, since it is smaller than the sum of its proper divisors (10741007488).

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

9245629952 is a wasteful number, since it uses less digits than its factorization.

9245629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483 (or 6467 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 53.

The square root of 9245629952 is about 96154.1988266763. The cubic root of 9245629952 is about 2098.8375994836.

The spelling of 9245629952 in words is "nine billion, two hundred forty-five million, six hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 223 256 416 446 512 832 892 1664 1784 2899 3328 3568 5798 6229 6656 7136 11596 12458 14272 23192 24916 28544 46384 49832 57088 80977 92768 99664 114176 161954 185536 199328 323908 371072 398656 647816 742144 797312 1295632 1389067 1484288 1594624 2591264 2778134 3189248 5182528 5556268 10365056 11112536 18057871 20730112 22225072 36115742 41460224 44450144 72231484 88900288 144462968 177800576 288925936 355601152 577851872 711202304 1155703744 2311407488 4622814976 9245629952