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274989472 = 2523438689
BaseRepresentation
bin10000011001000…
…000000110100000
3201011102220122021
4100121000012200
51030344130342
643141551224
76546241402
oct2031000640
9634386567
10274989472
1113125172a
1278115514
1344c81b84
1428742b72
151921d567
hex106401a0

274989472 has 48 divisors (see below), whose sum is σ = 578128320. Its totient is φ = 128443392.

The previous prime is 274989469. The next prime is 274989487.

274989472 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27304 + ... + 35992.

It is an arithmetic number, because the mean of its divisors is an integer number (12044340).

Almost surely, 2274989472 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 274989472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289064160).

274989472 is an abundant number, since it is smaller than the sum of its proper divisors (303138848).

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

274989472 is a wasteful number, since it uses less digits than its factorization.

274989472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8757 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 52.

The square root of 274989472 is about 16582.8065175953. The cubic root of 274989472 is about 650.2874247581.

The spelling of 274989472 in words is "two hundred seventy-four million, nine hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 688 736 989 1376 1978 3956 7912 8689 15824 17378 31648 34756 69512 139024 199847 278048 373627 399694 747254 799388 1494508 1598776 2989016 3197552 5978032 6395104 8593421 11956064 17186842 34373684 68747368 137494736 274989472