Search a number
-
+
1241691552 = 25337092027
BaseRepresentation
bin100101000000010…
…1011010110100000
310012112110110121000
41022000223112200
510020333112202
6323113432000
742525126663
oct11200532640
93175413530
101241691552
115879a2272
122a7a0b600
1316a330c3a
14baca36da
157402391c
hex4a02b5a0

1241691552 has 96 divisors (see below), whose sum is σ = 3628497600. Its totient is φ = 413109504.

The previous prime is 1241691551. The next prime is 1241691569. The reversal of 1241691552 is 2551961421.

1241691552 is a `hidden beast` number, since 1 + 2 + 4 + 16 + 91 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (1241691551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611563 + ... + 613589.

It is an arithmetic number, because the mean of its divisors is an integer number (37796850).

Almost surely, 21241691552 is an apocalyptic number.

1241691552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241691552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814248800).

1241691552 is an abundant number, since it is smaller than the sum of its proper divisors (2386806048).

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

1241691552 is a wasteful number, since it uses less digits than its factorization.

1241691552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2741 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1241691552 is about 35237.6439621039. The cubic root of 1241691552 is about 1074.8253697225.

The spelling of 1241691552 in words is "one billion, two hundred forty-one million, six hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 709 864 1418 2027 2127 2836 4054 4254 5672 6081 6381 8108 8508 11344 12162 12762 16216 17016 18243 19143 22688 24324 25524 32432 34032 36486 38286 48648 51048 54729 64864 68064 72972 76572 97296 102096 109458 145944 153144 194592 204192 218916 291888 306288 437832 583776 612576 875664 1437143 1751328 2874286 4311429 5748572 8622858 11497144 12934287 17245716 22994288 25868574 34491432 38802861 45988576 51737148 68982864 77605722 103474296 137965728 155211444 206948592 310422888 413897184 620845776 1241691552