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49730640 = 2435353587
BaseRepresentation
bin1011110110110…
…1010001010000
310110120120121120
42331231101100
5100212340030
64533522240
71142463201
oct275552120
9113516546
1049730640
1126087403
12147a3380
13a3c291b
1468675a8
154575010
hex2f6d450

49730640 has 80 divisors (see below), whose sum is σ = 154865088. Its totient is φ = 13201408.

The previous prime is 49730633. The next prime is 49730647. The reversal of 49730640 is 4603794.

49730640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49730633) and next prime (49730647).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49730647) 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, 84427 + ... + 85013.

Almost surely, 249730640 is an apocalyptic number.

49730640 is a gapful number since it is divisible by the number (40) 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 49730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77432544).

49730640 is an abundant number, since it is smaller than the sum of its proper divisors (105134448).

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

49730640 is a wasteful number, since it uses less digits than its factorization.

49730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 49730640 is about 7051.9954622787. The cubic root of 49730640 is about 367.7404045052.

The spelling of 49730640 in words is "forty-nine million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 353 587 706 1059 1174 1412 1761 1765 2118 2348 2824 2935 3522 3530 4236 4696 5295 5648 5870 7044 7060 8472 8805 9392 10590 11740 14088 14120 16944 17610 21180 23480 28176 28240 35220 42360 46960 70440 84720 140880 207211 414422 621633 828844 1036055 1243266 1657688 2072110 2486532 3108165 3315376 4144220 4973064 6216330 8288440 9946128 12432660 16576880 24865320 49730640