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1645057408 = 2731607683
BaseRepresentation
bin110001000001101…
…1001010110000000
311020122110120112011
41202003121112000
511332113314113
6431123142304
755523520511
oct14203312600
94218416464
101645057408
11774656a85
1239ab14994
13202a80567
141186a2a08
159964e63d
hex620d9580

1645057408 has 64 divisors (see below), whose sum is σ = 3393515520. Its totient is φ = 793520640.

The previous prime is 1645057367. The next prime is 1645057417. The reversal of 1645057408 is 8047505461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2408235 + ... + 2408917.

It is an arithmetic number, because the mean of its divisors is an integer number (53023680).

Almost surely, 21645057408 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 1645057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696757760).

1645057408 is an abundant number, since it is smaller than the sum of its proper divisors (1748458112).

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

1645057408 is an equidigital number, since it uses as much as digits as its factorization.

1645057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 1645057408 is about 40559.3072919151. The cubic root of 1645057408 is about 1180.4846730614.

The spelling of 1645057408 in words is "one billion, six hundred forty-five million, fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 607 683 992 1214 1366 1984 2428 2732 3968 4856 5464 9712 10928 18817 19424 21173 21856 37634 38848 42346 43712 75268 77696 84692 87424 150536 169384 301072 338768 414581 602144 677536 829162 1204288 1355072 1658324 2408576 2710144 3316648 6633296 12852011 13266592 25704022 26533184 51408044 53066368 102816088 205632176 411264352 822528704 1645057408