Search a number
-
+
49006536 = 23331199331
BaseRepresentation
bin1011101011110…
…0011111001000
310102012210022220
42322330133020
5100021202121
64510214040
71133356125
oct272743710
9112183286
1049006536
1125732377
12144b4320
13a1cb167
14671974c
1544806c6
hex2ebc7c8

49006536 has 64 divisors (see below), whose sum is σ = 127488000. Its totient is φ = 15681600.

The previous prime is 49006519. The next prime is 49006561. The reversal of 49006536 is 63560094.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 49006497 and 49006506.

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, 147891 + ... + 148221.

It is an arithmetic number, because the mean of its divisors is an integer number (1992000).

Almost surely, 249006536 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 49006536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63744000).

49006536 is an abundant number, since it is smaller than the sum of its proper divisors (78481464).

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

49006536 is a wasteful number, since it uses less digits than its factorization.

49006536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 49006536 is about 7000.4668415756. The cubic root of 49006536 is about 365.9468404981.

The spelling of 49006536 in words is "forty-nine million, six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 199 248 331 372 398 597 662 744 796 993 1194 1324 1592 1986 2388 2648 3972 4776 6169 7944 10261 12338 18507 20522 24676 30783 37014 41044 49352 61566 65869 74028 82088 123132 131738 148056 197607 246264 263476 395214 526952 790428 1580856 2041939 4083878 6125817 8167756 12251634 16335512 24503268 49006536