Search a number
-
+
88328448 = 283313983
BaseRepresentation
bin1010100001111…
…00100100000000
320011012112212000
411100330210000
5140103002243
612433104000
72121531225
oct520744400
9204175760
1088328448
114594a51a
12256b8000
13153b8170
14ba3394c
157b4b5d3
hex543c900

88328448 has 144 divisors (see below), whose sum is σ = 281581440. Its totient is φ = 27150336.

The previous prime is 88328423. The next prime is 88328479. The reversal of 88328448 is 84482388.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89365 + ... + 90347.

Almost surely, 288328448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140790720).

88328448 is an abundant number, since it is smaller than the sum of its proper divisors (193252992).

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

88328448 is a wasteful number, since it uses less digits than its factorization.

88328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1001 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 88328448 is about 9398.3215522773. The cubic root of 88328448 is about 445.3487112271.

The spelling of 88328448 in words is "eighty-eight million, three hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 983 1152 1248 1404 1664 1728 1872 1966 2304 2496 2808 2949 3328 3456 3744 3932 4992 5616 5898 6912 7488 7864 8847 9984 11232 11796 12779 14976 15728 17694 22464 23592 25558 26541 29952 31456 35388 38337 44928 47184 51116 53082 62912 70776 76674 89856 94368 102232 106164 115011 125824 141552 153348 188736 204464 212328 230022 251648 283104 306696 345033 377472 408928 424656 460044 566208 613392 690066 754944 817856 849312 920088 1132416 1226784 1380132 1635712 1698624 1840176 2264832 2453568 2760264 3271424 3397248 3680352 4907136 5520528 6794496 7360704 9814272 11041056 14721408 22082112 29442816 44164224 88328448