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88997280 = 2535315981
BaseRepresentation
bin1010100110111…
…11110110100000
320012110112022120
411103133312200
5140240403110
612455304240
72130315201
oct523376640
9205415276
1088997280
1146266a79
122597b080
1315590718
14bb695a8
157c2e870
hex54dfda0

88997280 has 96 divisors (see below), whose sum is σ = 289433088. Its totient is φ = 22963200.

The previous prime is 88997263. The next prime is 88997287. The reversal of 88997280 is 8279988.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (88997287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11890 + ... + 17870.

It is an arithmetic number, because the mean of its divisors is an integer number (3014928).

Almost surely, 288997280 is an apocalyptic number.

88997280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88997280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144716544).

88997280 is an abundant number, since it is smaller than the sum of its proper divisors (200435808).

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

88997280 is a wasteful number, since it uses less digits than its factorization.

88997280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The square root of 88997280 is about 9433.8369712435. The cubic root of 88997280 is about 446.4699611576.

The spelling of 88997280 in words is "eighty-eight million, nine hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 5981 7440 11962 14880 17943 23924 29905 35886 47848 59810 71772 89715 95696 119620 143544 179430 185411 191392 239240 287088 358860 370822 478480 556233 574176 717720 741644 927055 956960 1112466 1435440 1483288 1854110 2224932 2781165 2870880 2966576 3708220 4449864 5562330 5933152 7416440 8899728 11124660 14832880 17799456 22249320 29665760 44498640 88997280