Search a number
-
+
49420944 = 24323111071
BaseRepresentation
bin1011110010000…
…1101010010000
310102222211210100
42330201222100
5100122432234
64523132400
71140033246
oct274415220
9112884710
1049420944
1125995761
1214674100
13a314981
1467c6796
154513399
hex2f21a90

49420944 has 60 divisors (see below), whose sum is σ = 142784512. Its totient is φ = 15940800.

The previous prime is 49420909. The next prime is 49420961. The reversal of 49420944 is 44902494.

It is a happy number.

It is a super-2 number, since 2×494209442 = 4884859411702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49420899 and 49420908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072 + ... + 9999.

Almost surely, 249420944 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 49420944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71392256).

49420944 is an abundant number, since it is smaller than the sum of its proper divisors (93363568).

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

49420944 is a wasteful number, since it uses less digits than its factorization.

49420944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11116 (or 11107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 49420944 is about 7030.0031294445. The cubic root of 49420944 is about 366.9754504487.

The spelling of 49420944 in words is "forty-nine million, four hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 11071 22142 33213 44284 66426 88568 99639 132852 177136 199278 265704 343201 398556 531408 686402 797112 1029603 1372804 1594224 2059206 2745608 3088809 4118412 5491216 6177618 8236824 12355236 16473648 24710472 49420944