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74145536 = 28594909
BaseRepresentation
bin1000110101101…
…01111100000000
312011111222112222
410122311330000
5122440124121
611205110212
71560140513
oct432657400
9164458488
1074145536
1138942703
12209b8368
13124906ca
149bc0d7a
1567990ab
hex46b5f00

74145536 has 36 divisors (see below), whose sum is σ = 150540600. Its totient is φ = 36436992.

The previous prime is 74145527. The next prime is 74145571. The reversal of 74145536 is 63554147.

It is a junction number, because it is equal to n+sod(n) for n = 74145496 and 74145505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12650 + ... + 17558.

Almost surely, 274145536 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 74145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75270300).

74145536 is an abundant number, since it is smaller than the sum of its proper divisors (76395064).

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

74145536 is an equidigital number, since it uses as much as digits as its factorization.

74145536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4970 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 74145536 is about 8610.7802201659. The cubic root of 74145536 is about 420.1086944680.

The spelling of 74145536 in words is "seventy-four million, one hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1888 3776 4909 7552 9818 15104 19636 39272 78544 157088 289631 314176 579262 628352 1158524 1256704 2317048 4634096 9268192 18536384 37072768 74145536