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49520952 = 233213191277
BaseRepresentation
bin1011110011101…
…0000100111000
310110011220222100
42330322010320
5100134132302
64525223400
71140630645
oct274720470
9113156870
1049520952
1125a53908
1214701b60
13a34b350
146810dcc
154532d1c
hex2f3a138

49520952 has 96 divisors (see below), whose sum is σ = 145716480. Its totient is φ = 15102720.

The previous prime is 49520929. The next prime is 49520953. The reversal of 49520952 is 25902594.

It is a happy number.

49520952 is a `hidden beast` number, since 49 + 520 + 95 + 2 = 666.

49520952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49520953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178638 + ... + 178914.

It is an arithmetic number, because the mean of its divisors is an integer number (1517880).

Almost surely, 249520952 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 49520952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72858240).

49520952 is an abundant number, since it is smaller than the sum of its proper divisors (96195528).

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

49520952 is a wasteful number, since it uses less digits than its factorization.

49520952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 49520952 is about 7037.1124760089. The cubic root of 49520952 is about 367.2228202885. Note that the first 3 decimals are identical.

The spelling of 49520952 in words is "forty-nine million, five hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 191 234 277 312 382 468 554 573 764 831 936 1108 1146 1528 1662 1719 2216 2292 2483 2493 3324 3438 3601 4584 4966 4986 6648 6876 7202 7449 9932 9972 10803 13752 14404 14898 19864 19944 21606 22347 28808 29796 32409 43212 44694 52907 59592 64818 86424 89388 105814 129636 158721 178776 211628 259272 317442 423256 476163 634884 687791 952326 1269768 1375582 1904652 2063373 2751164 3809304 4126746 5502328 6190119 8253492 12380238 16506984 24760476 49520952