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49721320 = 23511210273
BaseRepresentation
bin1011110110101…
…0111111101000
310110120002211101
42331222333220
5100212040240
64533411144
71142424055
oct275527750
9113502741
1049721320
1126080400
1214799ab4
13a3bb5cc
14686402c
15457239a
hex2f6afe8

49721320 has 48 divisors (see below), whose sum is σ = 122979780. Its totient is φ = 18078720.

The previous prime is 49721279. The next prime is 49721359. The reversal of 49721320 is 2312794.

It can be written as a sum of positive squares in 2 ways, for example, as 47416996 + 2304324 = 6886^2 + 1518^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297 + ... + 9976.

Almost surely, 249721320 is an apocalyptic number.

49721320 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 49721320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61489890).

49721320 is an abundant number, since it is smaller than the sum of its proper divisors (73258460).

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

49721320 is a wasteful number, since it uses less digits than its factorization.

49721320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10291 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 49721320 is about 7051.3346254450. The cubic root of 49721320 is about 367.7174303743.

The spelling of 49721320 in words is "forty-nine million, seven hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 10273 20546 41092 51365 82184 102730 113003 205460 226006 410920 452012 565015 904024 1130030 1243033 2260060 2486066 4520120 4972132 6215165 9944264 12430330 24860660 49721320