Search a number
-
+
49158144 = 211337127
BaseRepresentation
bin1011101110000…
…1100000000000
310102111111022000
42323201200000
5100041030034
64513344000
71134560130
oct273414000
9112444260
1049158144
1125826272
1214568000
13a252179
146758ac0
1544b0599
hex2ee1800

49158144 has 192 divisors, whose sum is σ = 167731200. Its totient is φ = 13934592.

The previous prime is 49158121. The next prime is 49158167. The reversal of 49158144 is 44185194.

It is an interprime number because it is at equal distance from previous prime (49158121) and next prime (49158167).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 49158099 and 49158108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387009 + ... + 387135.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 249158144 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 49158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

49158144 is an abundant number, since it is smaller than the sum of its proper divisors (118573056).

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

49158144 is a wasteful number, since it uses less digits than its factorization.

49158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 49158144 is about 7011.2869004199. The cubic root of 49158144 is about 366.3238198377.

The spelling of 49158144 in words is "forty-nine million, one hundred fifty-eight thousand, one hundred forty-four".