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49140648 = 2333832741
BaseRepresentation
bin1011101101110…
…1001110101000
310102110121022000
42323131032220
5100040000043
64513131000
71134455124
oct273351650
9112417260
1049140648
1125814107
1214559a60
13a24720b
146752584
1544aa2d3
hex2edd3a8

49140648 has 64 divisors (see below), whose sum is σ = 138196800. Its totient is φ = 16176960.

The previous prime is 49140643. The next prime is 49140677. The reversal of 49140648 is 84604194.

It is a happy number.

49140648 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 0 + 648 = 666.

It is a super-3 number, since 3×491406483 (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49140643) 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, 16558 + ... + 19298.

It is an arithmetic number, because the mean of its divisors is an integer number (2159325).

Almost surely, 249140648 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 49140648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69098400).

49140648 is an abundant number, since it is smaller than the sum of its proper divisors (89056152).

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

49140648 is a wasteful number, since it uses less digits than its factorization.

49140648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49140648 is about 7010.0390869096. The cubic root of 49140648 is about 366.2803549334.

The spelling of 49140648 in words is "forty-nine million, one hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1992 2241 2741 2988 4482 5482 5976 8223 8964 10964 16446 17928 21928 24669 32892 49338 65784 74007 98676 148014 197352 227503 296028 455006 592056 682509 910012 1365018 1820024 2047527 2730036 4095054 5460072 6142581 8190108 12285162 16380216 24570324 49140648