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49930528000 = 28537919751
BaseRepresentation
bin101110100000000101…
…110110010100000000
311202212202002121221211
4232200011312110000
51304224203344000
634534320255504
73415216325323
oct564005662400
9152782077854
1049930528000
111a1a2532781
129815771594
134929557632
1425b94087ba
1514737207ba
hexba0176500

49930528000 has 144 divisors (see below), whose sum is σ = 125964034560. Its totient is φ = 19718400000.

The previous prime is 49930527929. The next prime is 49930528003. The reversal of 49930528000 is 82503994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49930528003) 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 15 ways as a sum of consecutive naturals, for example, 2518125 + ... + 2537875.

It is an arithmetic number, because the mean of its divisors is an integer number (874750240).

Almost surely, 249930528000 is an apocalyptic number.

49930528000 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 49930528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62982017280).

49930528000 is an abundant number, since it is smaller than the sum of its proper divisors (76033506560).

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

49930528000 is an equidigital number, since it uses as much as digits as its factorization.

49930528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19861 (or 19837 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 49930528000 in words is "forty-nine billion, nine hundred thirty million, five hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 125 128 158 160 200 250 256 316 320 395 400 500 632 640 790 800 1000 1264 1280 1580 1600 1975 2000 2528 3160 3200 3950 4000 5056 6320 6400 7900 8000 9875 10112 12640 15800 16000 19750 19751 20224 25280 31600 32000 39500 39502 50560 63200 79000 79004 98755 101120 126400 158000 158008 197510 252800 316000 316016 395020 493775 505600 632000 632032 790040 987550 1264000 1264064 1560329 1580080 1975100 2468875 2528000 2528128 3120658 3160160 3950200 4937750 5056256 6241316 6320320 7801645 7900400 9875500 12482632 12640640 15603290 15800800 19751000 24965264 25281280 31206580 31601600 39008225 39502000 49930528 62413160 63203200 78016450 79004000 99861056 124826320 126406400 156032900 158008000 195041125 199722112 249652640 312065800 316016000 390082250 399444224 499305280 624131600 632032000 780164500 998610560 1248263200 1560329000 1997221120 2496526400 3120658000 4993052800 6241316000 9986105600 12482632000 24965264000 49930528000