Search a number
-
+
74637990 = 233571723101
BaseRepresentation
bin1000111001011…
…10001010100110
312012110000002000
410130232022212
5123101403430
611223430130
71564261320
oct434561246
9165400060
1074637990
1139149699
1220bb5346
13126038bb
149cac610
156844e60
hex472e2a6

74637990 has 256 divisors, whose sum is σ = 253808640. Its totient is φ = 15206400.

The previous prime is 74637977. The next prime is 74638033. The reversal of 74637990 is 9973647.

74637990 is a `hidden beast` number, since 7 + 4 + 637 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 738940 + ... + 739040.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 274637990 is an apocalyptic number.

74637990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74637990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

74637990 is an abundant number, since it is smaller than the sum of its proper divisors (179170650).

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

74637990 is a wasteful number, since it uses less digits than its factorization.

74637990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 74637990 is about 8639.3280988744. The cubic root of 74637990 is about 421.0367245663.

The spelling of 74637990 in words is "seventy-four million, six hundred thirty-seven thousand, nine hundred ninety".