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89849040 = 24352341397
BaseRepresentation
bin1010101101011…
…11110011010000
320021001210201020
411112233303100
5141000132130
612525435440
72140463361
oct526576320
9207053636
1089849040
1146798a06
122610bb80
13157cb318
14bd0bb68
157d4be10
hex55afcd0

89849040 has 160 divisors (see below), whose sum is σ = 298480896. Its totient is φ = 22302720.

The previous prime is 89848981. The next prime is 89849041. The reversal of 89849040 is 4094898.

It is a junction number, because it is equal to n+sod(n) for n = 89848983 and 89849001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89849041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226122 + ... + 226518.

Almost surely, 289849040 is an apocalyptic number.

89849040 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 89849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149240448).

89849040 is an abundant number, since it is smaller than the sum of its proper divisors (208631856).

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

89849040 is a wasteful number, since it uses less digits than its factorization.

89849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 89849040 is about 9478.8733507733. The cubic root of 89849040 is about 447.8897741152.

The spelling of 89849040 in words is "eighty-nine million, eight hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 41 46 48 60 69 80 82 92 115 120 123 138 164 184 205 230 240 246 276 328 345 368 397 410 460 492 552 615 656 690 794 820 920 943 984 1104 1191 1230 1380 1588 1640 1840 1886 1968 1985 2382 2460 2760 2829 3176 3280 3772 3970 4715 4764 4920 5520 5658 5955 6352 7544 7940 9131 9430 9528 9840 11316 11910 14145 15088 15880 16277 18262 18860 19056 22632 23820 27393 28290 31760 32554 36524 37720 45264 45655 47640 48831 54786 56580 65108 73048 75440 81385 91310 95280 97662 109572 113160 130216 136965 146096 162770 182620 195324 219144 226320 244155 260432 273930 325540 365240 374371 390648 438288 488310 547860 651080 730480 748742 781296 976620 1095720 1123113 1302160 1497484 1871855 1953240 2191440 2246226 2994968 3743710 3906480 4492452 5615565 5989936 7487420 8984904 11231130 14974840 17969808 22462260 29949680 44924520 89849040