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74825088 = 2731321153
BaseRepresentation
bin1000111010110…
…11110110000000
312012210111201120
410131123312000
5123123400323
611231432240
71566000642
oct435336600
9165714646
1074825088
1139267218
1221085680
131266ab00
149d1a892
1568805e3
hex475bd80

74825088 has 96 divisors (see below), whose sum is σ = 215405640. Its totient is φ = 23003136.

The previous prime is 74825053. The next prime is 74825089. The reversal of 74825088 is 88052847.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74825089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64320 + ... + 65472.

Almost surely, 274825088 is an apocalyptic number.

74825088 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702820).

74825088 is an abundant number, since it is smaller than the sum of its proper divisors (140580552).

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

74825088 is a wasteful number, since it uses less digits than its factorization.

74825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 74825088 is about 8650.1495940822. The cubic root of 74825088 is about 421.3882408102.

The spelling of 74825088 in words is "seventy-four million, eight hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1153 1248 1352 1664 2028 2306 2496 2704 3459 4056 4612 4992 5408 6918 8112 9224 10816 13836 14989 16224 18448 21632 27672 29978 32448 36896 44967 55344 59956 64896 73792 89934 110688 119912 147584 179868 194857 221376 239824 359736 389714 442752 479648 584571 719472 779428 959296 1169142 1438944 1558856 1918592 2338284 2877888 3117712 4676568 5755776 6235424 9353136 12470848 18706272 24941696 37412544 74825088