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2428616772 = 2232659910223
BaseRepresentation
bin1001000011000001…
…1100000001000100
320021020212111220100
42100300130001010
514433211214042
61040553404100
7114116621241
oct22060340104
96236774810
102428616772
1110369887aa
12579409630
132c91c815a
1419078c5c8
15e332a24c
hex90c1c044

2428616772 has 36 divisors (see below), whose sum is σ = 6140534400. Its totient is φ = 809337072.

The previous prime is 2428616747. The next prime is 2428616791. The reversal of 2428616772 is 2776168242.

It is a happy number.

2428616772 is a `hidden beast` number, since 2 + 4 + 28 + 616 + 7 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232453 + ... + 242675.

It is an arithmetic number, because the mean of its divisors is an integer number (170570400).

Almost surely, 22428616772 is an apocalyptic number.

It is an amenable number.

2428616772 is an abundant number, since it is smaller than the sum of its proper divisors (3711917628).

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

2428616772 is a wasteful number, since it uses less digits than its factorization.

2428616772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16832 (or 16827 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2428616772 is about 49280.9980824252. The cubic root of 2428616772 is about 1344.1662807129.

The spelling of 2428616772 in words is "two billion, four hundred twenty-eight million, six hundred sixteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 6599 10223 13198 19797 20446 26396 30669 39594 40892 59391 61338 79188 92007 118782 122676 184014 237564 368028 67461577 134923154 202384731 269846308 404769462 607154193 809538924 1214308386 2428616772