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89077248 = 2932131487
BaseRepresentation
bin1010100111100…
…11011000000000
320012121121000100
411103303120000
5140300432443
612501122400
72131100301
oct523633000
9205547010
1089077248
1146311067
12259b9400
13155bac40
14bb8a7a8
157c483d3
hex54f3600

89077248 has 120 divisors (see below), whose sum is σ = 277044768. Its totient is φ = 27389952.

The previous prime is 89077223. The next prime is 89077277. The reversal of 89077248 is 84277098.

It is a super-2 number, since 2×890772482 = 15869512222507008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59161 + ... + 60647.

Almost surely, 289077248 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 89077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

89077248 is an abundant number, since it is smaller than the sum of its proper divisors (187967520).

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

89077248 is a wasteful number, since it uses less digits than its factorization.

89077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 89077248 is about 9438.0743798722. The cubic root of 89077248 is about 446.6036454736.

The spelling of 89077248 in words is "eighty-nine million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1487 1536 1664 1872 2304 2496 2974 3328 3744 4461 4608 4992 5948 6656 7488 8922 9984 11896 13383 14976 17844 19331 19968 23792 26766 29952 35688 38662 47584 53532 57993 59904 71376 77324 95168 107064 115986 142752 154648 173979 190336 214128 231972 285504 309296 347958 380672 428256 463944 571008 618592 695916 761344 856512 927888 1142016 1237184 1391832 1713024 1855776 2284032 2474368 2783664 3426048 3711552 4948736 5567328 6852096 7423104 9897472 11134656 14846208 22269312 29692416 44538624 89077248