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4574087424 = 283214092
BaseRepresentation
bin1000100001010001…
…10000100100000000
3102210202221201100100
410100220300210000
533331431244144
62033514322400
7221231046564
oct42050604400
912722851310
104574087424
111a37a53645
12a77a29400
1357b84690a
143156b36a4
151bb875269
hex110a30900

4574087424 has 81 divisors (see below), whose sum is σ = 13197588313. Its totient is φ = 1523613696.

The previous prime is 4574087411. The next prime is 4574087471. The reversal of 4574087424 is 4247804754.

The square root of 4574087424 is 67632.

It is a perfect power (a square), and thus also a powerful number.

4574087424 is a `hidden beast` number, since 4 + 574 + 0 + 8 + 74 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58247424 + 4515840000 = 7632^2 + 67200^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4574087424.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3245632 + ... + 3247040.

Almost surely, 24574087424 is an apocalyptic number.

4574087424 is the 67632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4574087424

4574087424 is an abundant number, since it is smaller than the sum of its proper divisors (8623500889).

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

4574087424 is an frugal number, since it uses more digits than its factorization.

4574087424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The cubic root of 4574087424 is about 1659.9747690557.

The spelling of 4574087424 in words is "four billion, five hundred seventy-four million, eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1409 2304 2818 4227 5636 8454 11272 12681 16908 22544 25362 33816 45088 50724 67632 90176 101448 135264 180352 202896 270528 360704 405792 541056 811584 1082112 1623168 1985281 3246336 3970562 5955843 7941124 11911686 15882248 17867529 23823372 31764496 35735058 47646744 63528992 71470116 95293488 127057984 142940232 190586976 254115968 285880464 381173952 508231936 571760928 762347904 1143521856 1524695808 2287043712 4574087424