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49992720 = 2435673109
BaseRepresentation
bin1011111010110…
…1010000010000
310111001220010020
42332231100100
5100244231340
64543303440
71144634241
oct276552020
9114056106
1049992720
11262462a8
12148aab80
13a484cbb
1468d4cc8
1545c79d0
hex2fad410

49992720 has 80 divisors (see below), whose sum is σ = 157341120. Its totient is φ = 13128192.

The previous prime is 49992697. The next prime is 49992721. The reversal of 49992720 is 2729994.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49992721) 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, 14526 + ... + 17634.

It is an arithmetic number, because the mean of its divisors is an integer number (1966764).

Almost surely, 249992720 is an apocalyptic number.

49992720 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 49992720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78670560).

49992720 is an abundant number, since it is smaller than the sum of its proper divisors (107348400).

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

49992720 is a wasteful number, since it uses less digits than its factorization.

49992720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 49992720 is about 7070.5530193896. The cubic root of 49992720 is about 368.3852691633.

The spelling of 49992720 in words is "forty-nine million, nine hundred ninety-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3109 3216 4020 5360 6218 8040 9327 12436 15545 16080 18654 24872 31090 37308 46635 49744 62180 74616 93270 124360 149232 186540 208303 248720 373080 416606 624909 746160 833212 1041515 1249818 1666424 2083030 2499636 3124545 3332848 4166060 4999272 6249090 8332120 9998544 12498180 16664240 24996360 49992720