Search a number
-
+
49973376 = 273181719
BaseRepresentation
bin1011111010100…
…0100010000000
310111000220120210
42332220202000
5100243122001
64543034120
71144523655
oct276504200
9114026523
1049973376
1126232812
121489b940
13a47925b
1468cbc2c
1545c1dd6
hex2fa8880

49973376 has 64 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 16542720.

The previous prime is 49973359. The next prime is 49973377. The reversal of 49973376 is 67337994.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (49973377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69145 + ... + 69863.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 249973376 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 49973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

49973376 is an abundant number, since it is smaller than the sum of its proper divisors (83687424).

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

49973376 is a wasteful number, since it uses less digits than its factorization.

49973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

The product of its digits is 857304, while the sum is 48.

The square root of 49973376 is about 7069.1849600926. The cubic root of 49973376 is about 368.3377491514.

The spelling of 49973376 in words is "forty-nine million, nine hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 362 384 543 719 724 1086 1438 1448 2157 2172 2876 2896 4314 4344 5752 5792 8628 8688 11504 11584 17256 17376 23008 23168 34512 34752 46016 69024 69504 92032 130139 138048 260278 276096 390417 520556 780834 1041112 1561668 2082224 3123336 4164448 6246672 8328896 12493344 16657792 24986688 49973376