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49312000 = 28532367
BaseRepresentation
bin1011110000011…
…1000100000000
310102210022100101
42330013010000
5100110441000
64520532144
71136100523
oct274070400
9112708311
1049312000
1125920921
1214621054
13a2a71ca
146798bba
1544e0e6a
hex2f07100

49312000 has 144 divisors (see below), whose sum is σ = 130096512. Its totient is φ = 18585600.

The previous prime is 49311991. The next prime is 49312007. The reversal of 49312000 is 21394.

It is not an unprimeable number, because it can be changed into a prime (49312007) 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, 735967 + ... + 736033.

It is an arithmetic number, because the mean of its divisors is an integer number (903448).

Almost surely, 249312000 is an apocalyptic number.

49312000 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 49312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65048256).

49312000 is an abundant number, since it is smaller than the sum of its proper divisors (80784512).

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

49312000 is an equidigital number, since it uses as much as digits as its factorization.

49312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 49312000 is about 7022.2503515611. The cubic root of 49312000 is about 366.7055973356.

Adding to 49312000 its reverse (21394), we get a palindrome (49333394).

The spelling of 49312000 in words is "forty-nine million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 67 80 92 100 115 125 128 134 160 184 200 230 250 256 268 320 335 368 400 460 500 536 575 640 670 736 800 920 1000 1072 1150 1280 1340 1472 1541 1600 1675 1840 2000 2144 2300 2680 2875 2944 3082 3200 3350 3680 4000 4288 4600 5360 5750 5888 6164 6400 6700 7360 7705 8000 8375 8576 9200 10720 11500 12328 13400 14720 15410 16000 16750 17152 18400 21440 23000 24656 26800 29440 30820 32000 33500 36800 38525 42880 46000 49312 53600 61640 67000 73600 77050 85760 92000 98624 107200 123280 134000 147200 154100 184000 192625 197248 214400 246560 268000 308200 368000 385250 394496 428800 493120 536000 616400 736000 770500 986240 1072000 1232800 1541000 1972480 2144000 2465600 3082000 4931200 6164000 9862400 12328000 24656000 49312000