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4251978752 = 21074211409
BaseRepresentation
bin1111110101110000…
…0000110000000000
3101222022211220022112
43331130000300000
532202001310002
61541530354452
7210240136340
oct37534006000
911868756275
104251978752
11189214962a
129a7b8ba28
13529ba7978
142c49c6d20
1519d44a852
hexfd700c00

4251978752 has 88 divisors (see below), whose sum is σ = 9744047520. Its totient is φ = 1816657920.

The previous prime is 4251978737. The next prime is 4251978769. The reversal of 4251978752 is 2578791524.

It is a self number, because there is not a number n which added to its sum of digits gives 4251978752.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3017024 + ... + 3018432.

Almost surely, 24251978752 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 4251978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872023760).

4251978752 is an abundant number, since it is smaller than the sum of its proper divisors (5492068768).

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

4251978752 is a wasteful number, since it uses less digits than its factorization.

4251978752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1839 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 50.

The square root of 4251978752 is about 65207.1986210112. The cubic root of 4251978752 is about 1620.0572494121.

The spelling of 4251978752 in words is "four billion, two hundred fifty-one million, nine hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 421 448 512 842 896 1024 1409 1684 1792 2818 2947 3368 3584 5636 5894 6736 7168 9863 11272 11788 13472 19726 22544 23576 26944 39452 45088 47152 53888 78904 90176 94304 107776 157808 180352 188608 215552 315616 360704 377216 431104 593189 631232 721408 754432 1186378 1262464 1442816 1508864 2372756 2524928 3017728 4152323 4745512 5049856 8304646 9491024 10099712 16609292 18982048 33218584 37964096 66437168 75928192 132874336 151856384 265748672 303712768 531497344 607425536 1062994688 2125989376 4251978752