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49679900 = 22522937463
BaseRepresentation
bin1011110110000…
…0111000011100
310110111000000022
42331200320130
5100204224100
64532451312
71142162234
oct275407034
9113430008
1049679900
1126052276
1214779b38
13a3a57ba
146852cc4
154564e85
hex2f60e1c

49679900 has 72 divisors (see below), whose sum is σ = 114784320. Its totient is φ = 18627840.

The previous prime is 49679879. The next prime is 49679909. The reversal of 49679900 is 997694.

49679900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49679909) 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 23 ways as a sum of consecutive naturals, for example, 107069 + ... + 107531.

Almost surely, 249679900 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 49679900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57392160).

49679900 is an abundant number, since it is smaller than the sum of its proper divisors (65104420).

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

49679900 is a wasteful number, since it uses less digits than its factorization.

49679900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 49679900 is about 7048.3969808744. The cubic root of 49679900 is about 367.6152938579.

The spelling of 49679900 in words is "forty-nine million, six hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 145 148 185 290 370 463 580 725 740 925 926 1073 1450 1850 1852 2146 2315 2900 3700 4292 4630 5365 9260 10730 11575 13427 17131 21460 23150 26825 26854 34262 46300 53650 53708 67135 68524 85655 107300 134270 171310 268540 335675 342620 428275 496799 671350 856550 993598 1342700 1713100 1987196 2483995 4967990 9935980 12419975 24839950 49679900