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74226256 = 2413432193
BaseRepresentation
bin1000110110010…
…01101001010000
312011200002021121
410123021221100
5123000220011
611210532024
71560625036
oct433115120
9164602247
1074226256
1138998315
1220a37014
13124bb380
149c02556
1567b2e71
hex46c9a50

74226256 has 60 divisors (see below), whose sum is σ = 159383028. Its totient is φ = 33288192.

The previous prime is 74226253. The next prime is 74226263. The reversal of 74226256 is 65262247.

It can be written as a sum of positive squares in 2 ways, for example, as 14318656 + 59907600 = 3784^2 + 7740^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74226253) 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 11 ways as a sum of consecutive naturals, for example, 384496 + ... + 384688.

Almost surely, 274226256 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 74226256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79691514).

74226256 is an abundant number, since it is smaller than the sum of its proper divisors (85156772).

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

74226256 is a wasteful number, since it uses less digits than its factorization.

74226256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 251 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 74226256 is about 8615.4660930213. The cubic root of 74226256 is about 420.2610923828.

The spelling of 74226256 in words is "seventy-four million, two hundred twenty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 193 208 344 386 559 688 772 1118 1544 1849 2236 2509 3088 3698 4472 5018 7396 8299 8944 10036 14792 16598 20072 24037 29584 33196 40144 48074 66392 96148 107887 132784 192296 215774 356857 384592 431548 713714 863096 1427428 1726192 2854856 4639141 5709712 9278282 18556564 37113128 74226256