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5525920440 = 233457921589
BaseRepresentation
bin1010010010101111…
…01101101010111000
3112021002222211210000
411021113231222320
542304113423230
62312155353000
7253636356135
oct51127555270
915232884700
105525920440
1123862688a7
1210a2752760
136a0abab11
143a5c8358c
152251deb60
hex1495edab8

5525920440 has 160 divisors (see below), whose sum is σ = 18809208000. Its totient is φ = 1454858496.

The previous prime is 5525920409. The next prime is 5525920447. The reversal of 5525920440 is 440295255.

5525920440 is a `hidden beast` number, since 5 + 525 + 92 + 0 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5525920395 and 5525920404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5525920447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245166 + ... + 266754.

It is an arithmetic number, because the mean of its divisors is an integer number (117557550).

Almost surely, 25525920440 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 5525920440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404604000).

5525920440 is an abundant number, since it is smaller than the sum of its proper divisors (13283287560).

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

5525920440 is a wasteful number, since it uses less digits than its factorization.

5525920440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21691 (or 21678 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5525920440 is about 74336.5350282080. The cubic root of 5525920440 is about 1767.9427980852.

The spelling of 5525920440 in words is "five billion, five hundred twenty-five million, nine hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 81 90 108 120 135 158 162 180 216 237 270 316 324 360 395 405 474 540 632 648 711 790 810 948 1080 1185 1422 1580 1620 1896 2133 2370 2844 3160 3240 3555 4266 4740 5688 6399 7110 8532 9480 10665 12798 14220 17064 21330 21589 25596 28440 31995 42660 43178 51192 63990 64767 85320 86356 107945 127980 129534 172712 194301 215890 255960 259068 323835 388602 431780 518136 582903 647670 777204 863560 971505 1165806 1295340 1554408 1705531 1748709 1943010 2331612 2590680 2914515 3411062 3497418 3886020 4663224 5116593 5829030 6822124 6994836 7772040 8527655 8743545 10233186 11658060 13644248 13989672 15349779 17055310 17487090 20466372 23316120 25582965 30699558 34110620 34974180 40932744 46049337 51165930 61399116 68221240 69948360 76748895 92098674 102331860 122798232 138148011 153497790 184197348 204663720 230246685 276296022 306995580 368394696 460493370 552592044 613991160 690740055 920986740 1105184088 1381480110 1841973480 2762960220 5525920440