Search a number
-
+
989705472 = 2837227811
BaseRepresentation
bin111010111111011…
…011010100000000
32112222022020200020
4322333123110000
54011331033342
6242112453440
733345233460
oct7277332400
92488266606
10989705472
11468732408
1223754a280
1312a074552
149562bba0
155bd4b0ec
hex3afdb500

989705472 has 144 divisors (see below), whose sum is σ = 3027343872. Its totient is φ = 281180160.

The previous prime is 989705467. The next prime is 989705527. The reversal of 989705472 is 274507989.

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, 1219947 + ... + 1220757.

Almost surely, 2989705472 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 989705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513671936).

989705472 is an abundant number, since it is smaller than the sum of its proper divisors (2037638400).

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

989705472 is a wasteful number, since it uses less digits than its factorization.

989705472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 989705472 is about 31459.5847397896. The cubic root of 989705472 is about 996.5566475998.

The spelling of 989705472 in words is "nine hundred eighty-nine million, seven hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 227 256 336 384 448 454 672 681 768 811 896 908 1344 1362 1589 1622 1792 1816 2433 2688 2724 3178 3244 3632 4767 4866 5376 5448 5677 6356 6488 7264 9534 9732 10896 11354 12712 12976 14528 17031 19068 19464 21792 22708 25424 25952 29056 34062 38136 38928 43584 45416 50848 51904 58112 68124 76272 77856 87168 90832 101696 103808 136248 152544 155712 174336 181664 184097 203392 207616 272496 305088 311424 363328 368194 406784 544992 552291 610176 622848 726656 736388 1089984 1104582 1220352 1288679 1453312 1472776 2179968 2209164 2577358 2945552 3866037 4359936 4418328 5154716 5891104 7732074 8836656 10309432 11782208 15464148 17673312 20618864 23564416 30928296 35346624 41237728 47128832 61856592 70693248 82475456 123713184 141386496 164950912 247426368 329901824 494852736 989705472