Search a number
-
+
1255883376 = 2431167131271
BaseRepresentation
bin100101011011011…
…0100001001110000
310020112011111010010
41022312310021300
510033001232001
6324341534520
743056555366
oct11266641160
93215144103
101255883376
11594a05850
122b0714440
1317025c777
14bcb19636
15753c88d6
hex4adb4270

1255883376 has 160 divisors (see below), whose sum is σ = 3632910336. Its totient is φ = 370656000.

The previous prime is 1255883357. The next prime is 1255883383. The reversal of 1255883376 is 6733885521.

It is a super-2 number, since 2×12558833762 = 3154486108226314752, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 4634121 + ... + 4634391.

Almost surely, 21255883376 is an apocalyptic number.

1255883376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255883376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816455168).

1255883376 is an abundant number, since it is smaller than the sum of its proper divisors (2377026960).

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

1255883376 is a wasteful number, since it uses less digits than its factorization.

1255883376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 1255883376 is about 35438.4448868739. Note that the first 3 decimals coincide. The cubic root of 1255883376 is about 1078.9047469929.

The spelling of 1255883376 in words is "one billion, two hundred fifty-five million, eight hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 131 132 134 176 201 262 264 268 271 393 402 524 528 536 542 737 786 804 813 1048 1072 1084 1441 1474 1572 1608 1626 2096 2168 2211 2882 2948 2981 3144 3216 3252 4323 4336 4422 5764 5896 5962 6288 6504 8646 8777 8844 8943 11528 11792 11924 13008 17292 17554 17688 17886 18157 23056 23848 26331 34584 35108 35376 35501 35772 36314 47696 52662 54471 69168 70216 71002 71544 72628 96547 105324 106503 108942 140432 142004 143088 145256 193094 199727 210648 213006 217884 284008 289641 290512 386188 390511 399454 421296 426012 435768 568016 579282 599181 772376 781022 798908 852024 871536 1158564 1171533 1198362 1544752 1562044 1597816 1704048 2317128 2343066 2378567 2396724 3124088 3195632 4634256 4686132 4757134 4793448 6248176 7135701 9372264 9514268 9586896 14271402 18744528 19028536 26164237 28542804 38057072 52328474 57085608 78492711 104656948 114171216 156985422 209313896 313970844 418627792 627941688 1255883376