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49000952 = 237111329211
BaseRepresentation
bin1011101011101…
…1000111111000
310102012111200002
42322323013320
5100021012302
64510132132
71133333630
oct272730770
9112174602
1049000952
1125729160
12144b1048
13a1c8760
1467176c0
15447dc02
hex2ebb1f8

49000952 has 128 divisors (see below), whose sum is σ = 128217600. Its totient is φ = 16934400.

The previous prime is 49000937. The next prime is 49000957. The reversal of 49000952 is 25900094.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49000957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232127 + ... + 232337.

It is an arithmetic number, because the mean of its divisors is an integer number (1001700).

Almost surely, 249000952 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 49000952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64108800).

49000952 is an abundant number, since it is smaller than the sum of its proper divisors (79216648).

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

49000952 is a wasteful number, since it uses less digits than its factorization.

49000952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 49000952 is about 7000.0679996697. The cubic root of 49000952 is about 365.9329408230.

The spelling of 49000952 in words is "forty-nine million, nine hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 13 14 22 26 28 29 44 52 56 58 77 88 91 104 116 143 154 182 203 211 232 286 308 319 364 377 406 422 572 616 638 728 754 812 844 1001 1144 1276 1477 1508 1624 1688 2002 2233 2321 2552 2639 2743 2954 3016 4004 4147 4466 4642 5278 5486 5908 6119 8008 8294 8932 9284 10556 10972 11816 12238 16247 16588 17864 18568 19201 21112 21944 24476 29029 30173 32494 33176 38402 42833 48952 58058 60346 64988 67309 76804 79547 85666 116116 120692 129976 134618 153608 159094 171332 211211 232232 241384 269236 318188 342664 422422 471163 538472 556829 636376 844844 875017 942326 1113658 1689688 1750034 1884652 2227316 3500068 3769304 4454632 6125119 7000136 12250238 24500476 49000952