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2693920248 = 233319364621
BaseRepresentation
bin1010000010010001…
…1111010111111000
320221202002022212000
42200210133113320
521004120421443
61123152021000
7123520641615
oct24044372770
96852068760
102693920248
111162714178
12632231760
1333c168366
141b7acd50c
1510b7838d3
hexa091f5f8

2693920248 has 64 divisors (see below), whose sum is σ = 7522000800. Its totient is φ = 893306880.

The previous prime is 2693920237. The next prime is 2693920259. The reversal of 2693920248 is 8420293962.

2693920248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2693920237) and next prime (2693920259).

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, 9378 + ... + 73998.

Almost surely, 22693920248 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 2693920248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761000400).

2693920248 is an abundant number, since it is smaller than the sum of its proper divisors (4828080552).

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

2693920248 is a wasteful number, since it uses less digits than its factorization.

2693920248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64829 (or 64819 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2693920248 is about 51902.9888156742. The cubic root of 2693920248 is about 1391.4306901998.

The spelling of 2693920248 in words is "two billion, six hundred ninety-three million, nine hundred twenty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1158 1544 1737 2316 3474 4632 5211 6948 10422 13896 20844 41688 64621 129242 193863 258484 387726 516968 581589 775452 1163178 1550904 1744767 2326356 3489534 4652712 6979068 12471853 13958136 24943706 37415559 49887412 74831118 99774824 112246677 149662236 224493354 299324472 336740031 448986708 673480062 897973416 1346960124 2693920248