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74741376 = 2731511289
BaseRepresentation
bin1000111010001…
…11011010000000
312012122020220010
410131013122000
5123113211001
611225544520
71565201613
oct435073200
9165566803
1074741376
113920a336
1221045140
131263b988
149cd817a
1568658d6
hex4747680

74741376 has 64 divisors (see below), whose sum is σ = 200001600. Its totient is φ = 24729600.

The previous prime is 74741357. The next prime is 74741413. The reversal of 74741376 is 67314747.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57340 + ... + 58628.

It is an arithmetic number, because the mean of its divisors is an integer number (3125025).

Almost surely, 274741376 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 74741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100000800).

74741376 is an abundant number, since it is smaller than the sum of its proper divisors (125260224).

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

74741376 is a wasteful number, since it uses less digits than its factorization.

74741376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 74741376 is about 8645.3094797121. The cubic root of 74741376 is about 421.2310367828.

The spelling of 74741376 in words is "seventy-four million, seven hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 302 384 453 604 906 1208 1289 1812 2416 2578 3624 3867 4832 5156 7248 7734 9664 10312 14496 15468 19328 20624 28992 30936 41248 57984 61872 82496 123744 164992 194639 247488 389278 494976 583917 778556 1167834 1557112 2335668 3114224 4671336 6228448 9342672 12456896 18685344 24913792 37370688 74741376