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49746976 = 2523257263
BaseRepresentation
bin1011110111000…
…1010000100000
310110121102000121
42331301100200
5100213400401
64534130024
71142561626
oct275612040
9113542017
1049746976
1126098704
12147b0914
13a3ca1a6
14686d516
154579ca1
hex2f71420

49746976 has 48 divisors (see below), whose sum is σ = 102985344. Its totient is φ = 23609344.

The previous prime is 49746973. The next prime is 49747003. The reversal of 49746976 is 67964794.

It is a super-2 number, since 2×497469762 = 4949523242289152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49746973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189021 + ... + 189283.

It is an arithmetic number, because the mean of its divisors is an integer number (2145528).

Almost surely, 249746976 is an apocalyptic number.

49746976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49746976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492672).

49746976 is an abundant number, since it is smaller than the sum of its proper divisors (53238368).

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

49746976 is a wasteful number, since it uses less digits than its factorization.

49746976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The square root of 49746976 is about 7053.1536208990. The cubic root of 49746976 is about 367.7806664013.

The spelling of 49746976 in words is "forty-nine million, seven hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 257 263 368 514 526 736 1028 1052 2056 2104 4112 4208 5911 6049 8224 8416 11822 12098 23644 24196 47288 48392 67591 94576 96784 135182 189152 193568 270364 540728 1081456 1554593 2162912 3109186 6218372 12436744 24873488 49746976