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1798328064 = 28313281641
BaseRepresentation
bin110101100110000…
…0100111100000000
311122022212112100010
41223030010330000
512140332444224
6454240224520
762364351651
oct15314047400
94568775303
101798328064
11843122545
1242230b140
13228756060
14130b9d528
15a7d27e29
hex6b304f00

1798328064 has 144 divisors (see below), whose sum is σ = 5180755104. Its totient is φ = 550502400.

The previous prime is 1798328047. The next prime is 1798328111. The reversal of 1798328064 is 4608238971.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805184 + ... + 2805824.

It is an arithmetic number, because the mean of its divisors is an integer number (35977466).

Almost surely, 21798328064 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 1798328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590377552).

1798328064 is an abundant number, since it is smaller than the sum of its proper divisors (3382427040).

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

1798328064 is a wasteful number, since it uses less digits than its factorization.

1798328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1798328064 is about 42406.6983388238. The cubic root of 1798328064 is about 1216.0636508695.

The spelling of 1798328064 in words is "one billion, seven hundred ninety-eight million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 281 312 384 416 562 624 641 768 832 843 1124 1248 1282 1664 1686 1923 2248 2496 2564 3328 3372 3653 3846 4496 4992 5128 6744 7306 7692 8333 8992 9984 10256 10959 13488 14612 15384 16666 17984 20512 21918 24999 26976 29224 30768 33332 35968 41024 43836 49998 53952 58448 61536 66664 71936 82048 87672 99996 107904 116896 123072 133328 164096 175344 180121 199992 215808 233792 246144 266656 350688 360242 399984 467584 492288 533312 540363 701376 720484 799968 935168 1066624 1080726 1402752 1440968 1599936 2133248 2161452 2341573 2805504 2881936 3199872 4322904 4683146 5763872 6399744 7024719 8645808 9366292 11527744 14049438 17291616 18732584 23055488 28098876 34583232 37465168 46110976 56197752 69166464 74930336 112395504 138332928 149860672 224791008 299721344 449582016 599442688 899164032 1798328064