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889426240 = 26579151233
BaseRepresentation
bin110101000000111…
…001000101000000
32021222121112102121
4311000321011000
53310143114430
6224131254024
731016666263
oct6500710500
92258545377
10889426240
1141707010a
12209a4a314
13112363921
14861a6cda
155313da7a
hex35039140

889426240 has 112 divisors (see below), whose sum is σ = 2168225280. Its totient is φ = 347443200.

The previous prime is 889426207. The next prime is 889426249. The reversal of 889426240 is 42624988.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889426249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3817164 + ... + 3817396.

Almost surely, 2889426240 is an apocalyptic number.

889426240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

889426240 is the 14912-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084112640).

889426240 is an abundant number, since it is smaller than the sum of its proper divisors (1278799040).

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

889426240 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (889426239) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (480).

889426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 889426240 is about 29823.2499905694. The cubic root of 889426240 is about 961.6934231120.

The spelling of 889426240 in words is "eight hundred eighty-nine million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 151 158 160 233 302 316 320 395 466 604 632 755 790 932 1165 1208 1264 1510 1580 1864 2330 2416 2528 3020 3160 3728 4660 4832 5056 6040 6320 7456 9320 9664 11929 12080 12640 14912 18407 18640 23858 24160 25280 35183 36814 37280 47716 48320 59645 70366 73628 74560 92035 95432 119290 140732 147256 175915 184070 190864 238580 281464 294512 351830 368140 381728 477160 562928 589024 703660 736280 763456 954320 1125856 1178048 1407320 1472560 1908640 2251712 2779457 2814640 2945120 3817280 5558914 5629280 5890240 11117828 11258560 13897285 22235656 27794570 44471312 55589140 88942624 111178280 177885248 222356560 444713120 889426240