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5575385840 = 24519231011579
BaseRepresentation
bin1010011000101000…
…11010001011110000
3112101120001221112212
411030110122023300
542404244321330
62321123511252
7255106666133
oct51424321360
915346057485
105575385840
1124011839a2
1210b7228528
136ab119a9b
143ac67c21a
15229711295
hex14c51a2f0

5575385840 has 160 divisors (see below), whose sum is σ = 14388364800. Its totient is φ = 1999641600.

The previous prime is 5575385819. The next prime is 5575385843. The reversal of 5575385840 is 485835755.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5575385843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3530171 + ... + 3531749.

It is an arithmetic number, because the mean of its divisors is an integer number (89927280).

Almost surely, 25575385840 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 5575385840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194182400).

5575385840 is an abundant number, since it is smaller than the sum of its proper divisors (8812978960).

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

5575385840 is a wasteful number, since it uses less digits than its factorization.

5575385840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 50.

The square root of 5575385840 is about 74668.5063463841. The cubic root of 5575385840 is about 1773.2023951537.

The spelling of 5575385840 in words is "five billion, five hundred seventy-five million, three hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 101 115 152 184 190 202 230 304 368 380 404 437 460 505 760 808 874 920 1010 1520 1579 1616 1748 1840 1919 2020 2185 2323 3158 3496 3838 4040 4370 4646 6316 6992 7676 7895 8080 8740 9292 9595 11615 12632 15352 15790 17480 18584 19190 23230 25264 30001 30704 31580 34960 36317 37168 38380 44137 46460 60002 63160 72634 76760 88274 92920 120004 126320 145268 150005 153520 159479 176548 181585 185840 220685 240008 290536 300010 318958 353096 363170 441370 480016 581072 600020 637916 690023 706192 726340 797395 882740 1200040 1275832 1380046 1452680 1594790 1765480 2400080 2551664 2760092 2905360 3030101 3189580 3450115 3530960 3668017 5520184 6060202 6379160 6900230 7336034 11040368 12120404 12758320 13800460 14672068 15150505 18340085 24240808 27600920 29344136 30301010 36680170 48481616 55201840 58688272 60602020 69692323 73360340 121204040 139384646 146720680 242408080 278769292 293441360 348461615 557538584 696923230 1115077168 1393846460 2787692920 5575385840