Search a number
-
+
4972837408 = 257112969593
BaseRepresentation
bin1001010000110011…
…10111101000100000
3110211120021022111021
410220121313220200
540141021244113
62141241055224
7234142264150
oct45031675040
913746238437
104972837408
112122045390
12b69487514
1361333b256
14352630760
151e188d48d
hex128677a20

4972837408 has 96 divisors (see below), whose sum is σ = 12627135360. Its totient is φ = 1870632960.

The previous prime is 4972837381. The next prime is 4972837417. The reversal of 4972837408 is 8047382794.

It is a super-2 number, since 2×49728374082 = 49458223772808316928, which contains 22 as substring.

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, 36660 + ... + 106252.

It is an arithmetic number, because the mean of its divisors is an integer number (131532660).

Almost surely, 24972837408 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 4972837408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313567680).

4972837408 is an abundant number, since it is smaller than the sum of its proper divisors (7654297952).

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

4972837408 is a wasteful number, since it uses less digits than its factorization.

4972837408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69650 (or 69642 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The square root of 4972837408 is about 70518.3480237590. The cubic root of 4972837408 is about 1706.8738305110.

The spelling of 4972837408 in words is "four billion, nine hundred seventy-two million, eight hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 308 319 352 406 464 616 638 812 928 1232 1276 1624 2233 2464 2552 3248 4466 5104 6496 8932 10208 17864 35728 69593 71456 139186 278372 487151 556744 765523 974302 1113488 1531046 1948604 2018197 2226976 3062092 3897208 4036394 5358661 6124184 7794416 8072788 10717322 12248368 14127379 15588832 16145576 21434644 22200167 24496736 28254758 32291152 42869288 44400334 56509516 64582304 85738576 88800668 113019032 155401169 171477152 177601336 226038064 310802338 355202672 452076128 621604676 710405344 1243209352 2486418704 4972837408