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642623772 = 223723487683
BaseRepresentation
bin100110010011011…
…010100100011100
31122210012200002110
4212103122210130
52304002430042
6143433354020
721632132460
oct4623324434
91583180073
10642623772
112aa82082a
1215b268910
13a31a076b
14614c04a0
153b63c09c
hex264da91c

642623772 has 96 divisors (see below), whose sum is σ = 1794465792. Its totient is φ = 175006656.

The previous prime is 642623741. The next prime is 642623797. The reversal of 642623772 is 277326246.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 642623772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940543 + ... + 941225.

It is an arithmetic number, because the mean of its divisors is an integer number (18692352).

Almost surely, 2642623772 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 642623772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897232896).

642623772 is an abundant number, since it is smaller than the sum of its proper divisors (1151842020).

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

642623772 is a wasteful number, since it uses less digits than its factorization.

642623772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 642623772 is about 25350.0250887450. The cubic root of 642623772 is about 862.9499256406.

The spelling of 642623772 in words is "six hundred forty-two million, six hundred twenty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 487 644 683 966 974 1366 1461 1932 1948 2049 2732 2922 3409 4098 4781 5844 6818 8196 9562 10227 11201 13636 14343 15709 19124 20454 22402 28686 31418 33603 40908 44804 47127 57372 62836 67206 78407 94254 109963 134412 156814 188508 219926 235221 313628 329889 332621 439852 470442 659778 665242 940884 997863 1319556 1330484 1995726 2328347 3991452 4656694 6985041 7650283 9313388 13970082 15300566 22950849 27940164 30601132 45901698 53551981 91803396 107103962 160655943 214207924 321311886 642623772