Search a number
-
+
5437628448 = 253746717327
BaseRepresentation
bin1010001000001101…
…11010000000100000
3112000221212010221020
411010012322000200
542114013102243
62255323125440
7251515036110
oct50406720040
915027763836
105437628448
11234044380a
121079073880
13688716435
1439825d040
1521c59e283
hex1441ba020

5437628448 has 96 divisors (see below), whose sum is σ = 16348760064. Its totient is φ = 1550191872.

The previous prime is 5437628437. The next prime is 5437628459. The reversal of 5437628448 is 8448267345.

It is an interprime number because it is at equal distance from previous prime (5437628437) and next prime (5437628459).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5437628448.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305161 + ... + 322487.

It is an arithmetic number, because the mean of its divisors is an integer number (170299584).

Almost surely, 25437628448 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 5437628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174380032).

5437628448 is an abundant number, since it is smaller than the sum of its proper divisors (10911131616).

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

5437628448 is a wasteful number, since it uses less digits than its factorization.

5437628448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17814 (or 17806 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The square root of 5437628448 is about 73740.2769726287. The cubic root of 5437628448 is about 1758.4762603873.

The spelling of 5437628448 in words is "five billion, four hundred thirty-seven million, six hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 467 672 934 1401 1868 2802 3269 3736 5604 6538 7472 9807 11208 13076 14944 17327 19614 22416 26152 34654 39228 44832 51981 52304 69308 78456 103962 104608 121289 138616 156912 207924 242578 277232 313824 363867 415848 485156 554464 727734 831696 970312 1455468 1663392 1940624 2910936 3881248 5821872 8091709 11643744 16183418 24275127 32366836 48550254 56641963 64733672 97100508 113283926 129467344 169925889 194201016 226567852 258934688 339851778 388402032 453135704 679703556 776804064 906271408 1359407112 1812542816 2718814224 5437628448