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74512144 = 2472101941
BaseRepresentation
bin1000111000011…
…11011100010000
312012012121110001
410130033130100
5123033342034
611221015344
71563225400
oct434173420
9165177401
1074512144
1139073093
1220b54554
131258b535
149c78800
15681ca14
hex470f710

74512144 has 60 divisors (see below), whose sum is σ = 169780428. Its totient is φ = 31584000.

The previous prime is 74512133. The next prime is 74512153. The reversal of 74512144 is 44121547.

It can be written as a sum of positive squares in 2 ways, for example, as 61465600 + 13046544 = 7840^2 + 3612^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78714 + ... + 79654.

Almost surely, 274512144 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 74512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84890214).

74512144 is an abundant number, since it is smaller than the sum of its proper divisors (95268284).

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

74512144 is a wasteful number, since it uses less digits than its factorization.

74512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1051 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 74512144 is about 8632.0417051819. The cubic root of 74512144 is about 420.7999568689.

The spelling of 74512144 in words is "seventy-four million, five hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 941 1414 1616 1882 2828 3764 4949 5656 6587 7528 9898 11312 13174 15056 19796 26348 39592 46109 52696 79184 92218 95041 105392 184436 190082 368872 380164 665287 737744 760328 1330574 1520656 2661148 4657009 5322296 9314018 10644592 18628036 37256072 74512144