Search a number
-
+
89391984 = 243111723433
BaseRepresentation
bin1010101010000…
…00001101110000
320020012120202020
411111000031300
5140341020414
612511551440
72133551013
oct525001560
9206176666
1089391984
1146506580
1225b2b580
131569b286
14bc2d37a
157cab7a9
hex5540370

89391984 has 160 divisors (see below), whose sum is σ = 278982144. Its totient is φ = 24330240.

The previous prime is 89391959. The next prime is 89391997. The reversal of 89391984 is 48919398.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206232 + ... + 206664.

Almost surely, 289391984 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 89391984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139491072).

89391984 is an abundant number, since it is smaller than the sum of its proper divisors (189590160).

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

89391984 is a wasteful number, since it uses less digits than its factorization.

89391984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 559872, while the sum is 51.

The square root of 89391984 is about 9454.7334177120. The cubic root of 89391984 is about 447.1290210067.

The spelling of 89391984 in words is "eighty-nine million, three hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 23 24 33 34 44 46 48 51 66 68 69 88 92 102 132 136 138 176 184 187 204 253 264 272 276 368 374 391 408 433 506 528 552 561 748 759 782 816 866 1012 1104 1122 1173 1299 1496 1518 1564 1732 2024 2244 2346 2598 2992 3036 3128 3464 4048 4301 4488 4692 4763 5196 6072 6256 6928 7361 8602 8976 9384 9526 9959 10392 12144 12903 14289 14722 17204 18768 19052 19918 20784 22083 25806 28578 29444 29877 34408 38104 39836 44166 51612 57156 58888 59754 68816 76208 79672 80971 88332 103224 109549 114312 117776 119508 159344 161942 169303 176664 206448 219098 228624 239016 242913 323884 328647 338606 353328 438196 478032 485826 507909 647768 657294 677212 876392 971652 1015818 1295536 1314588 1354424 1752784 1862333 1943304 2031636 2629176 2708848 3724666 3886608 4063272 5258352 5586999 7449332 8126544 11173998 14898664 22347996 29797328 44695992 89391984