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894728640 = 26351371693
BaseRepresentation
bin110101010101000…
…111100111000000
32022100120220221210
4311111013213000
53313022304030
6224441050120
731113032211
oct6525074700
92270526853
10894728640
1141a061963
1220b786940
1311349c240
1486b87408
1553839bb0
hex355479c0

894728640 has 112 divisors (see below), whose sum is σ = 3059326368. Its totient is φ = 220237824.

The previous prime is 894728617. The next prime is 894728657. The reversal of 894728640 is 46827498.

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

It is a self number, because there is not a number n which added to its sum of digits gives 894728640.

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, 23367 + ... + 48326.

It is an arithmetic number, because the mean of its divisors is an integer number (27315414).

Almost surely, 2894728640 is an apocalyptic number.

894728640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

894728640 is an abundant number, since it is smaller than the sum of its proper divisors (2164597728).

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

894728640 is a wasteful number, since it uses less digits than its factorization.

894728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71726 (or 71716 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 894728640 is about 29912.0149772629. The cubic root of 894728640 is about 963.6007138715.

The spelling of 894728640 in words is "eight hundred ninety-four million, seven hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 71693 143386 215079 286772 358465 430158 573544 716930 860316 932009 1075395 1147088 1433860 1720632 1864018 2150790 2294176 2796027 2867720 3441264 3728036 4301580 4588352 4660045 5592054 5735440 6882528 7456072 8603160 9320090 11184108 11470880 13765056 13980135 14912144 17206320 18640180 22368216 22941760 27960270 29824288 34412640 37280360 44736432 55920540 59648576 68825280 74560720 89472864 111841080 149121440 178945728 223682160 298242880 447364320 894728640