Search a number
-
+
5784415040 = 265431313209
BaseRepresentation
bin1010110001100011…
…10010101101000000
3112221010101201201002
411120301302231000
543321302240130
62353552031132
7263225500535
oct53061625500
915833351632
105784415040
1124a91736a8
1211552324a8
13712515ac1
143cc330d8c
1523cc50b45
hex158c72b40

5784415040 has 112 divisors (see below), whose sum is σ = 14206484160. Its totient is φ = 2242007040.

The previous prime is 5784415027. The next prime is 5784415079. The reversal of 5784415040 is 405144875.

It is a junction number, because it is equal to n+sod(n) for n = 5784414985 and 5784415003.

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, 1800956 + ... + 1804164.

Almost surely, 25784415040 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 5784415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103242080).

5784415040 is an abundant number, since it is smaller than the sum of its proper divisors (8422069120).

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

5784415040 is a wasteful number, since it uses less digits than its factorization.

5784415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 38.

The square root of 5784415040 is about 76055.3419557101. The cubic root of 5784415040 is about 1795.0910525063.

The spelling of 5784415040 in words is "five billion, seven hundred eighty-four million, four hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 131 160 172 215 262 320 344 430 524 655 688 860 1048 1310 1376 1720 2096 2620 2752 3209 3440 4192 5240 5633 6418 6880 8384 10480 11266 12836 13760 16045 20960 22532 25672 28165 32090 41920 45064 51344 56330 64180 90128 102688 112660 128360 137987 180256 205376 225320 256720 275974 360512 420379 450640 513440 551948 689935 840758 901280 1026880 1103896 1379870 1681516 1802560 2101895 2207792 2759740 3363032 4203790 4415584 5519480 6726064 8407580 8831168 11038960 13452128 16815160 18076297 22077920 26904256 33630320 36152594 44155840 67260640 72305188 90381485 134521280 144610376 180762970 289220752 361525940 578441504 723051880 1156883008 1446103760 2892207520 5784415040