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85089744 = 2433431457
BaseRepresentation
bin1010001001001…
…01110111010000
312221010000012000
411010211313100
5133240332434
612235434000
72052152025
oct504456720
9187100160
1085089744
1144038203
12245b5900
1314822c7c
14b42d54c
15770bb99
hex5125dd0

85089744 has 80 divisors (see below), whose sum is σ = 245341440. Its totient is φ = 28235520.

The previous prime is 85089731. The next prime is 85089793. The reversal of 85089744 is 44798058.

It is a self number, because there is not a number n which added to its sum of digits gives 85089744.

It is a congruent number.

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, 185964 + ... + 186420.

It is an arithmetic number, because the mean of its divisors is an integer number (3066768).

Almost surely, 285089744 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 85089744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122670720).

85089744 is an abundant number, since it is smaller than the sum of its proper divisors (160251696).

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

85089744 is a wasteful number, since it uses less digits than its factorization.

85089744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85089744 is about 9224.4102250496. The cubic root of 85089744 is about 439.8376536052.

The spelling of 85089744 in words is "eighty-five million, eighty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 431 432 457 862 914 1293 1371 1724 1828 2586 2742 3448 3656 3879 4113 5172 5484 6896 7312 7758 8226 10344 10968 11637 12339 15516 16452 20688 21936 23274 24678 31032 32904 46548 49356 62064 65808 93096 98712 186192 196967 197424 393934 590901 787868 1181802 1575736 1772703 2363604 3151472 3545406 4727208 5318109 7090812 9454416 10636218 14181624 21272436 28363248 42544872 85089744