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5232574080 = 27345100937
BaseRepresentation
bin1001101111110001…
…01011111010000000
3111111200000022020000
410313320223322000
541204014332310
62223120120000
7243445101006
oct46770537200
914450008200
105232574080
112245719398
121020466000
136550ac6a6
14378d22a76
152095974c0
hex137e2be80

5232574080 has 160 divisors (see below), whose sum is σ = 18686651940. Its totient is φ = 1395339264.

The previous prime is 5232574079. The next prime is 5232574091. The reversal of 5232574080 is 804752325.

5232574080 is a `hidden beast` number, since 5 + 2 + 3 + 2 + 574 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4787532864 + 445041216 = 69192^2 + 21096^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1372 + ... + 102308.

Almost surely, 25232574080 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 5232574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343325970).

5232574080 is an abundant number, since it is smaller than the sum of its proper divisors (13454077860).

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

5232574080 is a wasteful number, since it uses less digits than its factorization.

5232574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100968 (or 100947 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5232574080 is about 72336.5335083179. The cubic root of 5232574080 is about 1736.0882397615.

The spelling of 5232574080 in words is "five billion, two hundred thirty-two million, five hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 100937 201874 302811 403748 504685 605622 807496 908433 1009370 1211244 1514055 1614992 1816866 2018740 2422488 2725299 3028110 3229984 3633732 4037480 4542165 4844976 5450598 6056220 6459968 7267464 8074960 8175897 9084330 9689952 10901196 12112440 12919936 13626495 14534928 16149920 16351794 18168660 19379904 21802392 24224880 27252990 29069856 32299840 32703588 36337320 38759808 40879485 43604784 48449760 54505980 58139712 64599680 65407176 72674640 81758970 87209568 96899520 109011960 116279424 130814352 145349280 163517940 174419136 193799040 218023920 261628704 290698560 327035880 348838272 436047840 523257408 581397120 654071760 872095680 1046514816 1308143520 1744191360 2616287040 5232574080