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89760552 = 23372127601
BaseRepresentation
bin1010101100110…
…10001100101000
320020220022022220
411112122030220
5140434314202
612523514040
72136644400
oct526321450
9206808286
1089760552
1146738482
1226088920
1315799c6b
14bcc7800
157d30abc
hex559a328

89760552 has 96 divisors (see below), whose sum is σ = 263531520. Its totient is φ = 25401600.

The previous prime is 89760551. The next prime is 89760563. The reversal of 89760552 is 25506798.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (89760551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149052 + ... + 149652.

It is an arithmetic number, because the mean of its divisors is an integer number (2745120).

Almost surely, 289760552 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 89760552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131765760).

89760552 is an abundant number, since it is smaller than the sum of its proper divisors (173770968).

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

89760552 is a wasteful number, since it uses less digits than its factorization.

89760552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 89760552 is about 9474.2045576397. The cubic root of 89760552 is about 447.7426907842.

The spelling of 89760552 in words is "eighty-nine million, seven hundred sixty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 127 147 168 196 254 294 381 392 508 588 601 762 889 1016 1176 1202 1524 1778 1803 2404 2667 3048 3556 3606 4207 4808 5334 6223 7112 7212 8414 10668 12446 12621 14424 16828 18669 21336 24892 25242 29449 33656 37338 49784 50484 58898 74676 76327 88347 100968 117796 149352 152654 176694 228981 235592 305308 353388 457962 534289 610616 706776 915924 1068578 1602867 1831848 2137156 3205734 3740023 4274312 6411468 7480046 11220069 12822936 14960092 22440138 29920184 44880276 89760552