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1073218848 = 253133792269
BaseRepresentation
bin111111111110000…
…000010100100000
32202210110011111020
4333332000110200
54144221000343
6254254445440
735411131632
oct7776002440
92683404436
101073218848
11500893229
1225b503880
13141464b50
14a276aa52
1564345b83
hex3ff80520

1073218848 has 96 divisors (see below), whose sum is σ = 3043252800. Its totient is φ = 329204736.

The previous prime is 1073218813. The next prime is 1073218901. The reversal of 1073218848 is 8488123701.

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

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, 471858 + ... + 474126.

It is an arithmetic number, because the mean of its divisors is an integer number (31700550).

Almost surely, 21073218848 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 1073218848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521626400).

1073218848 is an abundant number, since it is smaller than the sum of its proper divisors (1970033952).

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

1073218848 is a wasteful number, since it uses less digits than its factorization.

1073218848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 1073218848 is about 32760.0190476135. The cubic root of 1073218848 is about 1023.8337234085.

The spelling of 1073218848 in words is "one billion, seventy-three million, two hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 379 416 624 758 1137 1248 1516 2269 2274 3032 4538 4548 4927 6064 6807 9076 9096 9854 12128 13614 14781 18152 18192 19708 27228 29497 29562 36304 36384 39416 54456 58994 59124 72608 78832 88491 108912 117988 118248 157664 176982 217824 235976 236496 353964 471952 472992 707928 859951 943904 1415856 1719902 2579853 2831712 3439804 5159706 6879608 10319412 11179363 13759216 20638824 22358726 27518432 33538089 41277648 44717452 67076178 82555296 89434904 134152356 178869808 268304712 357739616 536609424 1073218848