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49260096 = 263329983
BaseRepresentation
bin1011101111101…
…0011001000000
310102200200011000
42323322121000
5100102310341
64515452000
71135463304
oct273723100
9112620130
1049260096
1125895926
12145b7000
13a2896b2
146783d04
1544d08b6
hex2efa640

49260096 has 112 divisors (see below), whose sum is σ = 149961600. Its totient is φ = 15837696.

The previous prime is 49260083. The next prime is 49260097. The reversal of 49260096 is 69006294.

49260096 is a `hidden beast` number, since 49 + 2 + 600 + 9 + 6 = 666.

49260096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49260096.

It is not an unprimeable number, because it can be changed into a prime (49260097) 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 15 ways as a sum of consecutive naturals, for example, 49621 + ... + 50603.

Almost surely, 249260096 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 49260096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74980800).

49260096 is an abundant number, since it is smaller than the sum of its proper divisors (100701504).

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

49260096 is a wasteful number, since it uses less digits than its factorization.

49260096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 49260096 is about 7018.5536971658. The cubic root of 49260096 is about 366.5768918872.

The spelling of 49260096 in words is "forty-nine million, two hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 983 1044 1392 1566 1728 1856 1966 2088 2784 2949 3132 3932 4176 5568 5898 6264 7864 8352 8847 11796 12528 15728 16704 17694 23592 25056 26541 28507 31456 35388 47184 50112 53082 57014 62912 70776 85521 94368 106164 114028 141552 171042 188736 212328 228056 256563 283104 342084 424656 456112 513126 566208 684168 769689 849312 912224 1026252 1368336 1539378 1698624 1824448 2052504 2736672 3078756 4105008 5473344 6157512 8210016 12315024 16420032 24630048 49260096