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2454133040 = 245371316329
BaseRepresentation
bin1001001001000111…
…0001100100110000
320100000212212122022
42102101301210300
520011224224130
61043304331012
7114546533552
oct22221614460
96300785568
102454133040
11104a326527
12585a73a68
13301590338
14193d114d2
15e56ba7e5
hex92471930

2454133040 has 80 divisors (see below), whose sum is σ = 5905738080. Its totient is φ = 947681280.

The previous prime is 2454133013. The next prime is 2454133049. The reversal of 2454133040 is 403314542.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2454133049) 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, 384596 + ... + 390924.

It is an arithmetic number, because the mean of its divisors is an integer number (73821726).

Almost surely, 22454133040 is an apocalyptic number.

2454133040 is a gapful number since it is divisible by the number (20) 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 2454133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952869040).

2454133040 is an abundant number, since it is smaller than the sum of its proper divisors (3451605040).

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

2454133040 is a wasteful number, since it uses less digits than its factorization.

2454133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2454133040 is about 49539.2070990241. The cubic root of 2454133040 is about 1348.8573852656.

Adding to 2454133040 its reverse (403314542), we get a palindrome (2857447582).

The spelling of 2454133040 in words is "two billion, four hundred fifty-four million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 131 148 185 262 296 370 524 592 655 740 1048 1310 1480 2096 2620 2960 4847 5240 6329 9694 10480 12658 19388 24235 25316 31645 38776 48470 50632 63290 77552 96940 101264 126580 193880 234173 253160 387760 468346 506320 829099 936692 1170865 1658198 1873384 2341730 3316396 3746768 4145495 4683460 6632792 8290990 9366920 13265584 16581980 18733840 30676663 33163960 61353326 66327920 122706652 153383315 245413304 306766630 490826608 613533260 1227066520 2454133040