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49492120 = 23531167239
BaseRepresentation
bin1011110011001…
…1000010011000
310110010110102111
42330303002120
5100132221440
64524442104
71140450616
oct274630230
9113113374
1049492120
1125a34187
12146a9334
13a33b1a2
1468046b6
1545294ea
hex2f33098

49492120 has 64 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 18963840.

The previous prime is 49492103. The next prime is 49492123. The reversal of 49492120 is 2129494.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49492123) 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, 206961 + ... + 207199.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 249492120 is an apocalyptic number.

49492120 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 49492120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

49492120 is an abundant number, since it is smaller than the sum of its proper divisors (66629480).

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

49492120 is a wasteful number, since it uses less digits than its factorization.

49492120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 49492120 is about 7035.0636102313. The cubic root of 49492120 is about 367.1515385153.

The spelling of 49492120 in words is "forty-nine million, four hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 167 239 248 310 334 478 620 668 835 956 1195 1240 1336 1670 1912 2390 3340 4780 5177 6680 7409 9560 10354 14818 20708 25885 29636 37045 39913 41416 51770 59272 74090 79826 103540 148180 159652 199565 207080 296360 319304 399130 798260 1237303 1596520 2474606 4949212 6186515 9898424 12373030 24746060 49492120