Search a number
-
+
1036641648 = 243722319163
BaseRepresentation
bin111101110010011…
…110010101110000
32200020121212000010
4331302132111300
54110340013043
6250510454520
734455210600
oct7562362560
92606555003
101036641648
11492180239
1224b204440
131369c9233
149b968c00
156101d133
hex3dc9e570

1036641648 has 120 divisors (see below), whose sum is σ = 3250827648. Its totient is φ = 283291008.

The previous prime is 1036641647. The next prime is 1036641689. The reversal of 1036641648 is 8461466301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036641647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44515 + ... + 63677.

Almost surely, 21036641648 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 1036641648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625413824).

1036641648 is an abundant number, since it is smaller than the sum of its proper divisors (2214186000).

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

1036641648 is a wasteful number, since it uses less digits than its factorization.

1036641648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19211 (or 19198 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1036641648 is about 32196.9198526816. The cubic root of 1036641648 is about 1012.0676682504.

The spelling of 1036641648 in words is "one billion, thirty-six million, six hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 966 1104 1127 1176 1288 1932 2254 2352 2576 3381 3864 4508 6762 7728 9016 13524 18032 19163 27048 38326 54096 57489 76652 114978 134141 153304 229956 268282 306608 402423 440749 459912 536564 804846 881498 919824 938987 1073128 1322247 1609692 1762996 1877974 2146256 2644494 2816961 3085243 3219384 3525992 3755948 5288988 5633922 6170486 6438768 7051984 7511896 9255729 10577976 11267844 12340972 15023792 18511458 21155952 21596701 22535688 24681944 37022916 43193402 45071376 49363888 64790103 74045832 86386804 129580206 148091664 172773608 259160412 345547216 518320824 1036641648