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74488680 = 23335759167
BaseRepresentation
bin1000111000010…
…01101101101000
312012011102021000
410130021231220
5123032114210
611220315000
71563100110
oct434115550
9165142230
1074488680
11390574a2
1220b42a60
1312580956
149c70040
156815ac0
hex4709b68

74488680 has 256 divisors, whose sum is σ = 290304000. Its totient is φ = 16637184.

The previous prime is 74488669. The next prime is 74488693. The reversal of 74488680 is 8688447.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445957 + ... + 446123.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 274488680 is an apocalyptic number.

74488680 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 74488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

74488680 is an abundant number, since it is smaller than the sum of its proper divisors (215815320).

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

74488680 is a wasteful number, since it uses less digits than its factorization.

74488680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 74488680 is about 8630.6824759112. The cubic root of 74488680 is about 420.7557820260.

The spelling of 74488680 in words is "seventy-four million, four hundred eighty-eight thousand, six hundred eighty".