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74028816 = 24342392
BaseRepresentation
bin1000110100110…
…01011100010000
312011022001110000
410122121130100
5122422410231
611202410000
71556143311
oct432313420
9164261400
1074028816
1138872a44
1220960900
131244c544
149b90608
1567746e6
hex4699710

74028816 has 75 divisors (see below), whose sum is σ = 215161111. Its totient is φ = 24573024.

The previous prime is 74028811. The next prime is 74028827. The reversal of 74028816 is 61882047.

The square root of 74028816 is 8604.

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

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74028811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 309625 + ... + 309863.

Almost surely, 274028816 is an apocalyptic number.

74028816 is the 8604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74028816

74028816 is an abundant number, since it is smaller than the sum of its proper divisors (141132295).

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

74028816 is an equidigital number, since it uses as much as digits as its factorization.

74028816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The cubic root of 74028816 is about 419.8881334724. Note that the first 3 decimals are identical.

Multiplying 74028816 by its sum of digits (36), we get a square (2665037376 = 516242).

74028816 divided by its sum of digits (36) gives a square (2056356 = 14342).

The spelling of 74028816 in words is "seventy-four million, twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 239 324 432 478 648 717 956 1296 1434 1912 2151 2868 3824 4302 5736 6453 8604 11472 12906 17208 19359 25812 34416 38718 51624 57121 77436 103248 114242 154872 171363 228484 309744 342726 456968 514089 685452 913936 1028178 1370904 1542267 2056356 2741808 3084534 4112712 4626801 6169068 8225424 9253602 12338136 18507204 24676272 37014408 74028816