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89423840 = 25511231149
BaseRepresentation
bin1010101010001…
…11111111100000
320020021012110002
411111013333200
5140343030330
612512355132
72134042622
oct525077740
9206235402
1089423840
1146528500
1225b45aa8
13156ac91c
14bc3ac12
157cb5e45
hex5547fe0

89423840 has 144 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 31257600.

The previous prime is 89423837. The next prime is 89423863. The reversal of 89423840 is 4832498.

It is a junction number, because it is equal to n+sod(n) for n = 89423794 and 89423803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600086 + ... + 600234.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 289423840 is an apocalyptic number.

89423840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

89423840 is an abundant number, since it is smaller than the sum of its proper divisors (151891360).

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

89423840 is a wasteful number, since it uses less digits than its factorization.

89423840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 89423840 is about 9456.4179264667. The cubic root of 89423840 is about 447.1821281192.

The spelling of 89423840 in words is "eighty-nine million, four hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 121 124 149 155 160 176 220 242 248 298 310 341 352 440 484 496 596 605 620 682 745 880 968 992 1192 1210 1240 1364 1490 1639 1705 1760 1936 2384 2420 2480 2728 2980 3278 3410 3751 3872 4619 4768 4840 4960 5456 5960 6556 6820 7502 8195 9238 9680 10912 11920 13112 13640 15004 16390 18029 18476 18755 19360 23095 23840 26224 27280 30008 32780 36058 36952 37510 46190 50809 52448 54560 60016 65560 72116 73904 75020 90145 92380 101618 120032 131120 144232 147808 150040 180290 184760 203236 254045 262240 288464 300080 360580 369520 406472 508090 558899 576928 600160 721160 739040 812944 1016180 1117798 1442320 1625888 2032360 2235596 2794495 2884640 4064720 4471192 5588990 8129440 8942384 11177980 17884768 22355960 44711920 89423840