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4268779488 = 25334940717
BaseRepresentation
bin1111111001110000…
…0110011111100000
3102000111110110121000
43332130012133200
532220301420423
61543330432000
7210533012151
oct37634063740
912014413530
104268779488
1118a0684236
129b1732600
1353050ab2c
142c6d1b928
1519eb68843
hexfe7067e0

4268779488 has 48 divisors (see below), whose sum is σ = 12450609360. Its totient is φ = 1422926208.

The previous prime is 4268779481. The next prime is 4268779511. The reversal of 4268779488 is 8849778624.

4268779488 is a `hidden beast` number, since 4 + 2 + 6 + 87 + 79 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×42687794883 (a number of 30 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268779481) 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, 2469495 + ... + 2471222.

It is an arithmetic number, because the mean of its divisors is an integer number (259387695).

Almost surely, 24268779488 is an apocalyptic number.

4268779488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4268779488 is an abundant number, since it is smaller than the sum of its proper divisors (8181829872).

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

4268779488 is a wasteful number, since it uses less digits than its factorization.

4268779488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940736 (or 4940722 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 4268779488 is about 65335.8973918626. The cubic root of 4268779488 is about 1622.1882089350.

The spelling of 4268779488 in words is "four billion, two hundred sixty-eight million, seven hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4940717 9881434 14822151 19762868 29644302 39525736 44466453 59288604 79051472 88932906 118577208 133399359 158102944 177865812 237154416 266798718 355731624 474308832 533597436 711463248 1067194872 1422926496 2134389744 4268779488