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103216848 = 24372771109
BaseRepresentation
bin1100010011011…
…11011011010000
321012012221220020
412021233123100
5202410414343
614124143440
72362220520
oct611573320
9235187806
10103216848
1153299389
122a697b80
13184cba77
14d9cb680
1590dcb83
hex626f6d0

103216848 has 80 divisors (see below), whose sum is σ = 306111360. Its totient is φ = 29357568.

The previous prime is 103216793. The next prime is 103216853. The reversal of 103216848 is 848612301.

It is a super-2 number, since 2×1032168482 = 21307435422110208, which contains 22 as substring.

It is a congruent number.

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, 92518 + ... + 93626.

It is an arithmetic number, because the mean of its divisors is an integer number (3826392).

Almost surely, 2103216848 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 103216848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153055680).

103216848 is an abundant number, since it is smaller than the sum of its proper divisors (202894512).

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

103216848 is a wasteful number, since it uses less digits than its factorization.

103216848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 103216848 is about 10159.5692822088. The cubic root of 103216848 is about 469.0835438694.

The spelling of 103216848 in words is "one hundred three million, two hundred sixteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 277 336 554 831 1108 1109 1662 1939 2216 2218 3324 3327 3878 4432 4436 5817 6648 6654 7756 7763 8872 11634 13296 13308 15512 15526 17744 23268 23289 26616 31024 31052 46536 46578 53232 62104 93072 93156 124208 186312 307193 372624 614386 921579 1228772 1843158 2150351 2457544 3686316 4300702 4915088 6451053 7372632 8601404 12902106 14745264 17202808 25804212 34405616 51608424 103216848