Search a number
-
+
1088072928 = 253214812551
BaseRepresentation
bin100000011011010…
…1010110011100000
32210211101211110100
41000312222303200
54212021313203
6255545102400
735651316165
oct10066526340
92724354410
101088072928
11509209328
12264487a00
13144565c47
14a471606c
15657cbea3
hex40daace0

1088072928 has 72 divisors (see below), whose sum is σ = 3097510416. Its totient is φ = 362304000.

The previous prime is 1088072927. The next prime is 1088072939. The reversal of 1088072928 is 8292708801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1088072927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425253 + ... + 427803.

It is an arithmetic number, because the mean of its divisors is an integer number (43020978).

Almost surely, 21088072928 is an apocalyptic number.

1088072928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1088072928 is an abundant number, since it is smaller than the sum of its proper divisors (2009437488).

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

1088072928 is a wasteful number, since it uses less digits than its factorization.

1088072928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1088072928 is about 32985.9504637959. The cubic root of 1088072928 is about 1028.5356159489.

The spelling of 1088072928 in words is "one billion, eighty-eight million, seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1481 2551 2962 4443 5102 5924 7653 8886 10204 11848 13329 15306 17772 20408 22959 23696 26658 30612 35544 40816 45918 47392 53316 61224 71088 81632 91836 106632 122448 142176 183672 213264 244896 367344 426528 734688 3778031 7556062 11334093 15112124 22668186 30224248 34002279 45336372 60448496 68004558 90672744 120896992 136009116 181345488 272018232 362690976 544036464 1088072928