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4248264640 = 26517780931
BaseRepresentation
bin1111110100110111…
…0101111111000000
3101222001212012111211
43331031311333000
532200023432030
61541315015504
7210163440124
oct37515657700
911861765454
104248264640
111890042114
129a689a594
135291a7279
142c42db584
1519ce6512a
hexfd375fc0

4248264640 has 56 divisors (see below), whose sum is σ = 10711263312. Its totient is φ = 1599344640.

The previous prime is 4248264637. The next prime is 4248264641. The reversal of 4248264640 is 464628424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4248264593 and 4248264602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248264641) 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, 385026 + ... + 395905.

Almost surely, 24248264640 is an apocalyptic number.

4248264640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4248264640 is an abundant number, since it is smaller than the sum of its proper divisors (6462998672).

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

4248264640 is a wasteful number, since it uses less digits than its factorization.

4248264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780965 (or 780955 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The square root of 4248264640 is about 65178.7130894742. The cubic root of 4248264640 is about 1619.5854042432.

The spelling of 4248264640 in words is "four billion, two hundred forty-eight million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 780931 1561862 3123724 3904655 6247448 7809310 12494896 13275827 15618620 24989792 26551654 31237240 49979584 53103308 62474480 66379135 106206616 124948960 132758270 212413232 249897920 265516540 424826464 531033080 849652928 1062066160 2124132320 4248264640