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49061152 = 257267467
BaseRepresentation
bin1011101100100…
…1110100100000
310102022120020201
42323021310200
5100024424102
64511314544
71134004300
oct273116440
9112276221
1049061152
112576a408
121451ba54
13a219c8a
146731600
154491987
hex2ec9d20

49061152 has 72 divisors (see below), whose sum is σ = 114279984. Its totient is φ = 20668032.

The previous prime is 49061143. The next prime is 49061153. The reversal of 49061152 is 25116094.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 49061152.

It is not an unprimeable number, because it can be changed into a prime (49061153) 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, 104823 + ... + 105289.

It is an arithmetic number, because the mean of its divisors is an integer number (1587222).

Almost surely, 249061152 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 49061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139992).

49061152 is an abundant number, since it is smaller than the sum of its proper divisors (65218832).

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

49061152 is a wasteful number, since it uses less digits than its factorization.

49061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 49061152 is about 7004.3666380337. The cubic root of 49061152 is about 366.0827348372.

The spelling of 49061152 in words is "forty-nine million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 196 224 268 392 467 469 536 784 934 938 1072 1568 1868 1876 2144 3269 3283 3736 3752 6538 6566 7472 7504 13076 13132 14944 15008 22883 26152 26264 31289 45766 52304 52528 62578 91532 104608 105056 125156 183064 219023 250312 366128 438046 500624 732256 876092 1001248 1533161 1752184 3066322 3504368 6132644 7008736 12265288 24530576 49061152