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49573152 = 2532434003
BaseRepresentation
bin1011110100011…
…0110100100000
310110021120120200
42331012310200
5100142320102
64530305200
71141236066
oct275066440
9113246520
1049573152
1125a8a052
1214728200
13a369035
146826036
15454351c
hex2f46d20

49573152 has 72 divisors (see below), whose sum is σ = 144288144. Its totient is φ = 16136064.

The previous prime is 49573129. The next prime is 49573159. The reversal of 49573152 is 25137594.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (49573159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10383 + ... + 14385.

It is an arithmetic number, because the mean of its divisors is an integer number (2004002).

Almost surely, 249573152 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 49573152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72144072).

49573152 is an abundant number, since it is smaller than the sum of its proper divisors (94714992).

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

49573152 is a wasteful number, since it uses less digits than its factorization.

49573152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4051 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 49573152 is about 7040.8204067424. The cubic root of 49573152 is about 367.3518047488.

The spelling of 49573152 in words is "forty-nine million, five hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4003 4128 6192 8006 12009 12384 16012 24018 32024 36027 48036 64048 72054 96072 128096 144108 172129 192144 288216 344258 384288 516387 576432 688516 1032774 1152864 1377032 1549161 2065548 2754064 3098322 4131096 5508128 6196644 8262192 12393288 16524384 24786576 49573152