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89503488 = 283323563
BaseRepresentation
bin1010101010110…
…11011100000000
320020102020201000
411111123130000
5140403102423
612514212000
72134524054
oct525333400
9206366630
1089503488
1146582328
1225b84000
1315709c59
14bc5bc64
157cce843
hex555b700

89503488 has 144 divisors (see below), whose sum is σ = 276675840. Its totient is φ = 28486656.

The previous prime is 89503423. The next prime is 89503489. The reversal of 89503488 is 88430598.

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

It is a super-2 number, since 2×895034882 = 16021748728332288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89503489) 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, 158695 + ... + 159257.

It is an arithmetic number, because the mean of its divisors is an integer number (1921360).

Almost surely, 289503488 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 89503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138337920).

89503488 is an abundant number, since it is smaller than the sum of its proper divisors (187172352).

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

89503488 is a wasteful number, since it uses less digits than its factorization.

89503488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 89503488 is about 9460.6283089444. The cubic root of 89503488 is about 447.3148540712.

The spelling of 89503488 in words is "eighty-nine million, five hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 563 576 621 736 768 828 864 1104 1126 1152 1242 1472 1656 1689 1728 2208 2252 2304 2484 2944 3312 3378 3456 4416 4504 4968 5067 5888 6624 6756 6912 8832 9008 9936 10134 12949 13248 13512 15201 17664 18016 19872 20268 25898 26496 27024 30402 36032 38847 39744 40536 51796 52992 54048 60804 72064 77694 79488 81072 103592 108096 116541 121608 144128 155388 158976 162144 207184 216192 233082 243216 310776 324288 349623 414368 432384 466164 486432 621552 648576 699246 828736 932328 972864 1243104 1297152 1398492 1657472 1864656 1945728 2486208 2796984 3314944 3729312 3891456 4972416 5593968 7458624 9944832 11187936 14917248 22375872 29834496 44751744 89503488