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1905912768 = 26334728607
BaseRepresentation
bin111000110011001…
…1110101111000000
311220211022101210210
41301212132233000
512400403202033
6513042154120
765141663664
oct16146365700
94824271723
101905912768
11898924521
12452352940
13244b23c46
141411a68a4
15b24c9d63
hex7199ebc0

1905912768 has 56 divisors (see below), whose sum is σ = 5057436672. Its totient is φ = 633451264.

The previous prime is 1905912719. The next prime is 1905912769. The reversal of 1905912768 is 8672195091.

1905912768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1905912769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52321 + ... + 80927.

Almost surely, 21905912768 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 1905912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528718336).

1905912768 is an abundant number, since it is smaller than the sum of its proper divisors (3151523904).

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

1905912768 is a wasteful number, since it uses less digits than its factorization.

1905912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28969 (or 28959 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The square root of 1905912768 is about 43656.7608509839. The cubic root of 1905912768 is about 1239.8457942127.

The spelling of 1905912768 in words is "one billion, nine hundred five million, nine hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 347 694 1041 1388 2082 2776 4164 5552 8328 11104 16656 22208 28607 33312 57214 66624 85821 114428 171642 228856 343284 457712 686568 915424 1373136 1830848 2746272 5492544 9926629 19853258 29779887 39706516 59559774 79413032 119119548 158826064 238239096 317652128 476478192 635304256 952956384 1905912768