Search a number
-
+
74949420 = 223572133753
BaseRepresentation
bin1000111011110…
…10001100101100
312020000211021110
410131322030230
5123141340140
611234232020
71600026300
oct435721454
9166024243
1074949420
1139341677
1221125610
13126b2590
149d4dd00
1568a7380
hex477a32c

74949420 has 288 divisors, whose sum is σ = 275099328. Its totient is φ = 15095808.

The previous prime is 74949409. The next prime is 74949421. The reversal of 74949420 is 2494947.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (74949421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1414114 + ... + 1414166.

It is an arithmetic number, because the mean of its divisors is an integer number (955206).

Almost surely, 274949420 is an apocalyptic number.

74949420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74949420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137549664).

74949420 is an abundant number, since it is smaller than the sum of its proper divisors (200149908).

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

74949420 is a wasteful number, since it uses less digits than its factorization.

74949420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 74949420 is about 8657.3333076647. Note that the first 4 decimals coincide. The cubic root of 74949420 is about 421.6215094999.

74949420 divided by its sum of digits (39) gives a triangular number (1921780 = T1960).

The spelling of 74949420 in words is "seventy-four million, nine hundred forty-nine thousand, four hundred twenty".