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74921856 = 2731723499
BaseRepresentation
bin1000111011100…
…11011110000000
312012222102110120
410131303132000
5123134444411
611233500240
71566553032
oct435633600
9165872416
1074921856
1139322999
1221111680
13126a2b79
149d43c52
15689e106
hex4773780

74921856 has 128 divisors (see below), whose sum is σ = 220320000. Its totient is φ = 22437888.

The previous prime is 74921843. The next prime is 74921881. The reversal of 74921856 is 65812947.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×749218562 = 11226569012969472, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 149895 + ... + 150393.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 274921856 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 74921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160000).

74921856 is an abundant number, since it is smaller than the sum of its proper divisors (145398144).

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

74921856 is a wasteful number, since it uses less digits than its factorization.

74921856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 74921856 is about 8655.7412160947. The cubic root of 74921856 is about 421.5698168594.

The spelling of 74921856 in words is "seventy-four million, nine hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 128 136 138 184 192 204 272 276 368 384 391 408 499 544 552 736 782 816 998 1088 1104 1173 1472 1497 1564 1632 1996 2176 2208 2346 2944 2994 3128 3264 3992 4416 4692 5988 6256 6528 7984 8483 8832 9384 11477 11976 12512 15968 16966 18768 22954 23952 25024 25449 31936 33932 34431 37536 45908 47904 50048 50898 63872 67864 68862 75072 91816 95808 101796 135728 137724 150144 183632 191616 195109 203592 271456 275448 367264 390218 407184 542912 550896 585327 734528 780436 814368 1085824 1101792 1170654 1469056 1560872 1628736 2203584 2341308 3121744 3257472 4407168 4682616 6243488 9365232 12486976 18730464 24973952 37460928 74921856