Search a number
-
+
88628560 = 2453313347
BaseRepresentation
bin1010100100001…
…01110101010000
320011202210112021
411102011311100
5140142103220
612443341224
72124221206
oct522056520
9204683467
1088628560
1146034a49
1225821814
1315491947
14bab1076
157baa4aa
hex5485d50

88628560 has 40 divisors (see below), whose sum is σ = 206745696. Its totient is φ = 35333760.

The previous prime is 88628557. The next prime is 88628563. The reversal of 88628560 is 6582688.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88628557) and next prime (88628563).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88628563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24807 + ... + 28153.

Almost surely, 288628560 is an apocalyptic number.

88628560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88628560 is an abundant number, since it is smaller than the sum of its proper divisors (118117136).

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

88628560 is a wasteful number, since it uses less digits than its factorization.

88628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The square root of 88628560 is about 9414.2742683650. The cubic root of 88628560 is about 445.8525255274.

The spelling of 88628560 in words is "eighty-eight million, six hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 331 662 1324 1655 2648 3310 3347 5296 6620 6694 13240 13388 16735 26480 26776 33470 53552 66940 133880 267760 1107857 2215714 4431428 5539285 8862856 11078570 17725712 22157140 44314280 88628560