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88808960 = 295113307
BaseRepresentation
bin1010100101100…
…01111000000000
320012002221222202
411102301320000
5140213341320
612451252332
72125602152
oct522617000
9205087882
1088808960
1146148539
12258aa0a8
1315525aa6
14bb1aad2
157be3b75
hex54b1e00

88808960 has 80 divisors (see below), whose sum is σ = 215517456. Its totient is φ = 35094528.

The previous prime is 88808959. The next prime is 88808963. The reversal of 88808960 is 6980888.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88808963) 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, 289127 + ... + 289433.

Almost surely, 288808960 is an apocalyptic number.

88808960 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 88808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

88808960 is an abundant number, since it is smaller than the sum of its proper divisors (126708496).

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

88808960 is a wasteful number, since it uses less digits than its factorization.

88808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The square root of 88808960 is about 9423.8505930432. The cubic root of 88808960 is about 446.1548256938.

The spelling of 88808960 in words is "eighty-eight million, eight hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 307 320 452 512 565 614 640 904 1130 1228 1280 1535 1808 2260 2456 2560 3070 3616 4520 4912 6140 7232 9040 9824 12280 14464 18080 19648 24560 28928 34691 36160 39296 49120 57856 69382 72320 78592 98240 138764 144640 157184 173455 196480 277528 289280 346910 392960 555056 693820 785920 1110112 1387640 2220224 2775280 4440448 5550560 8880896 11101120 17761792 22202240 44404480 88808960