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49901320 = 2357315749
BaseRepresentation
bin1011111001011…
…0111100001000
310110220020202001
42332112330020
5100233320240
64541320344
71144103620
oct276267410
9113806661
1049901320
1126193667
12148660b4
13a452511
1468ad880
1545aa89a
hex2f96f08

49901320 has 64 divisors (see below), whose sum is σ = 132480000. Its totient is φ = 16554240.

The previous prime is 49901317. The next prime is 49901323. The reversal of 49901320 is 2310994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49901317) and next prime (49901323).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (49901323) 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, 5806 + ... + 11554.

It is an arithmetic number, because the mean of its divisors is an integer number (2070000).

Almost surely, 249901320 is an apocalyptic number.

49901320 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 49901320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240000).

49901320 is an abundant number, since it is smaller than the sum of its proper divisors (82578680).

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

49901320 is a wasteful number, since it uses less digits than its factorization.

49901320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 49901320 is about 7064.0866359353. The cubic root of 49901320 is about 368.1606300961.

The spelling of 49901320 in words is "forty-nine million, nine hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 5749 8680 11498 22996 28745 40243 45992 57490 80486 114980 160972 178219 201215 229960 321944 356438 402430 712876 804860 891095 1247533 1425752 1609720 1782190 2495066 3564380 4990132 6237665 7128760 9980264 12475330 24950660 49901320