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5786635040 = 255415914951
BaseRepresentation
bin1010110001110100…
…10000101100100000
3112221021120111222022
411120322100230200
543322334310130
62354111401012
7263253405044
oct53072205440
915837514868
105786635040
1124aa44a60a
121155b23168
13712b12404
143cc74c024
1523d03d7e5
hex158e90b20

5786635040 has 96 divisors (see below), whose sum is σ = 14242677120. Its totient is φ = 2219776000.

The previous prime is 5786635033. The next prime is 5786635093. The reversal of 5786635040 is 405366875.

It is a junction number, because it is equal to n+sod(n) for n = 5786634982 and 5786635000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379565 + ... + 394515.

It is an arithmetic number, because the mean of its divisors is an integer number (148361220).

Almost surely, 25786635040 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 5786635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121338560).

5786635040 is an abundant number, since it is smaller than the sum of its proper divisors (8456042080).

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

5786635040 is a wasteful number, since it uses less digits than its factorization.

5786635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15066 (or 15058 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 5786635040 is about 76069.9351912436. The cubic root of 5786635040 is about 1795.3206690652.

The spelling of 5786635040 in words is "five billion, seven hundred eighty-six million, six hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 59 80 82 118 160 164 205 236 295 328 410 472 590 656 820 944 1180 1312 1640 1888 2360 2419 3280 4720 4838 6560 9440 9676 12095 14951 19352 24190 29902 38704 48380 59804 74755 77408 96760 119608 149510 193520 239216 299020 387040 478432 598040 612991 882109 1196080 1225982 1764218 2392160 2451964 3064955 3528436 4410545 4903928 6129910 7056872 8821090 9807856 12259820 14113744 17642180 19615712 24519640 28227488 35284360 36166469 49039280 70568720 72332938 98078560 141137440 144665876 180832345 289331752 361664690 578663504 723329380 1157327008 1446658760 2893317520 5786635040