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2466397248 = 26371835117
BaseRepresentation
bin1001001100000010…
…0011110001000000
320100212221221222020
42103000203301000
520022344202443
61044423241440
7115056013350
oct22300436100
96325857866
102466397248
111056242837
12589ba9280
13303c95673
141957c4b60
15e67de583
hex93023c40

2466397248 has 56 divisors (see below), whose sum is σ = 7457919552. Its totient is φ = 704684544.

The previous prime is 2466397243. The next prime is 2466397253. The reversal of 2466397248 is 8427936642.

It is an interprime number because it is at equal distance from previous prime (2466397243) and next prime (2466397253).

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2466397248.

It is not an unprimeable number, because it can be changed into a prime (2466397243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916215 + ... + 918902.

Almost surely, 22466397248 is an apocalyptic number.

2466397248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2466397248 is an abundant number, since it is smaller than the sum of its proper divisors (4991522304).

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

2466397248 is a wasteful number, since it uses less digits than its factorization.

2466397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835139 (or 1835129 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 2466397248 is about 49662.8356822282. The cubic root of 2466397248 is about 1351.1005653641.

The spelling of 2466397248 in words is "two billion, four hundred sixty-six million, three hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1835117 3670234 5505351 7340468 11010702 12845819 14680936 22021404 25691638 29361872 38537457 44042808 51383276 58723744 77074914 88085616 102766552 117447488 154149828 176171232 205533104 308299656 352342464 411066208 616599312 822132416 1233198624 2466397248