Search a number
-
+
1453444608 = 29371112289
BaseRepresentation
bin101011010100001…
…1100111000000000
310202021220122011210
41112220130320000
510434040211413
6400120210120
751006034560
oct12650347000
93667818153
101453444608
116864824a0
12346909940
131a21719c5
14db064da0
15879003c3
hex56a1ce00

1453444608 has 160 divisors (see below), whose sum is σ = 4827905280. Its totient is φ = 377487360.

The previous prime is 1453444583. The next prime is 1453444627. The reversal of 1453444608 is 8064443541.

It is a super-2 number, since 2×14534446082 = 4225002457048547328, which contains 22 as substring.

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, 112128 + ... + 124416.

It is an arithmetic number, because the mean of its divisors is an integer number (30174408).

Almost surely, 21453444608 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 1453444608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413952640).

1453444608 is an abundant number, since it is smaller than the sum of its proper divisors (3374460672).

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

1453444608 is a wasteful number, since it uses less digits than its factorization.

1453444608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12328 (or 12312 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 1453444608 is about 38124.0686181315. The cubic root of 1453444608 is about 1132.7467592840.

The spelling of 1453444608 in words is "one billion, four hundred fifty-three million, four hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1344 1408 1536 1792 1848 2112 2464 2688 2816 3584 3696 4224 4928 5376 5632 7392 8448 9856 10752 12289 14784 16896 19712 24578 29568 36867 39424 49156 59136 73734 86023 98312 118272 135179 147468 172046 196624 258069 270358 294936 344092 393248 405537 516138 540716 589872 688184 786496 811074 946253 1032276 1081432 1179744 1376368 1572992 1622148 1892506 2064552 2162864 2359488 2752736 2838759 3145984 3244296 3785012 4129104 4325728 4718976 5505472 5677518 6291968 6488592 7570024 8258208 8651456 9437952 11010944 11355036 12977184 15140048 16516416 17302912 18875904 22021888 22710072 25954368 30280096 33032832 34605824 44043776 45420144 51908736 60560192 66065664 69211648 90840288 103817472 121120384 132131328 181680576 207634944 242240768 363361152 484481536 726722304 1453444608