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49949900 = 225271113499
BaseRepresentation
bin1011111010001…
…0110011001100
310110222201101022
42332202303030
5100241344100
64542333312
71144365350
oct276426314
9113881338
1049949900
1126217110
121488a238
13a46b670
1468c3460
1545b9e85
hex2fa2ccc

49949900 has 144 divisors (see below), whose sum is σ = 145824000. Its totient is φ = 14342400.

The previous prime is 49949881. The next prime is 49949909. The reversal of 49949900 is 994994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (49949909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99851 + ... + 100349.

Almost surely, 249949900 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 49949900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912000).

49949900 is an abundant number, since it is smaller than the sum of its proper divisors (95874100).

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

49949900 is a wasteful number, since it uses less digits than its factorization.

49949900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 49949900 is about 7067.5243190243. The cubic root of 49949900 is about 368.2800620915.

It can be divided in two parts, 499 and 49900, that multiplied together give a square (24900100 = 49902).

The spelling of 49949900 in words is "forty-nine million, nine hundred forty-nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 499 550 572 650 700 715 770 910 998 1001 1100 1300 1430 1540 1820 1925 1996 2002 2275 2495 2860 3493 3575 3850 4004 4550 4990 5005 5489 6487 6986 7150 7700 9100 9980 10010 10978 12475 12974 13972 14300 17465 20020 21956 24950 25025 25948 27445 32435 34930 38423 45409 49900 50050 54890 64870 69860 71357 76846 87325 90818 100100 109780 129740 137225 142714 153692 162175 174650 181636 192115 227045 274450 285428 324350 349300 356785 384230 454090 499499 548900 648700 713570 768460 908180 960575 998998 1135225 1427140 1783925 1921150 1997996 2270450 2497495 3567850 3842300 4540900 4994990 7135700 9989980 12487475 24974950 49949900