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74426784 = 2533189281
BaseRepresentation
bin1000110111110…
…10100110100000
312012001021100120
410123322212200
5123023124114
611215120240
71562421465
oct433724640
9165037316
1074426784
1139014a43
1220b13080
131255b723
149c5566c
1568025a9
hex46fa9a0

74426784 has 96 divisors (see below), whose sum is σ = 204664320. Its totient is φ = 23654400.

The previous prime is 74426773. The next prime is 74426813. The reversal of 74426784 is 48762447.

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

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, 264724 + ... + 265004.

It is an arithmetic number, because the mean of its divisors is an integer number (2131920).

Almost surely, 274426784 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 74426784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

74426784 is an abundant number, since it is smaller than the sum of its proper divisors (130237536).

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

74426784 is a wasteful number, since it uses less digits than its factorization.

74426784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 74426784 is about 8627.0959192535. The cubic root of 74426784 is about 420.6392080862.

It can be divided in two parts, 744 and 26784, that multiplied together give a square (19927296 = 44642).

The spelling of 74426784 in words is "seventy-four million, four hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 89 93 96 124 178 186 248 267 281 356 372 496 534 562 712 744 843 992 1068 1124 1424 1488 1686 2136 2248 2759 2848 2976 3372 4272 4496 5518 6744 8277 8544 8711 8992 11036 13488 16554 17422 22072 25009 26133 26976 33108 34844 44144 50018 52266 66216 69688 75027 88288 100036 104532 132432 139376 150054 200072 209064 264864 278752 300108 400144 418128 600216 775279 800288 836256 1200432 1550558 2325837 2400864 3101116 4651674 6202232 9303348 12404464 18606696 24808928 37213392 74426784