Search a number
-
+
74945000 = 2354131153
BaseRepresentation
bin1000111011110…
…01000111101000
312020000121012202
410131321013220
5123141220000
611234155332
71600010354
oct435710750
9166017182
1074945000
1139339319
1221122b48
13126b0570
149d4c464
1568a5dd5
hex47791e8

74945000 has 80 divisors (see below), whose sum is σ = 189267540. Its totient is φ = 27648000.

The previous prime is 74944997. The next prime is 74945051. The reversal of 74945000 is 54947.

It can be written as a sum of positive squares in 10 ways, for example, as 7606564 + 67338436 = 2758^2 + 8206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64424 + ... + 65576.

Almost surely, 274945000 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 74945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94633770).

74945000 is an abundant number, since it is smaller than the sum of its proper divisors (114322540).

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

74945000 is a wasteful number, since it uses less digits than its factorization.

74945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 74945000 is about 8657.0780289888. The cubic root of 74945000 is about 421.6132212271.

Adding to 74945000 its reverse (54947), we get a palindrome (74999947).

The spelling of 74945000 in words is "seventy-four million, nine hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 625 650 1000 1153 1250 1300 1625 2306 2500 2600 3250 4612 5000 5765 6500 8125 9224 11530 13000 14989 16250 23060 28825 29978 32500 46120 57650 59956 65000 74945 115300 119912 144125 149890 230600 288250 299780 374725 576500 599560 720625 749450 1153000 1441250 1498900 1873625 2882500 2997800 3747250 5765000 7494500 9368125 14989000 18736250 37472500 74945000