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894381048 = 233311478009
BaseRepresentation
bin110101010011110…
…010101111111000
32022022221021011000
4311103302233320
53312430143143
6224425405000
731110053631
oct6523625770
92268837130
10894381048
114199447a0
1220b639760
131133a9c72
1486ad6888
15537bbbd3
hex354f2bf8

894381048 has 128 divisors (see below), whose sum is σ = 2768256000. Its totient is φ = 265224960.

The previous prime is 894381043. The next prime is 894381077. The reversal of 894381048 is 840183498.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 894380994 and 894381012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894381043) 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, 107668 + ... + 115676.

It is an arithmetic number, because the mean of its divisors is an integer number (21627000).

Almost surely, 2894381048 is an apocalyptic number.

894381048 is a gapful number since it is divisible by the number (88) 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 894381048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384128000).

894381048 is an abundant number, since it is smaller than the sum of its proper divisors (1873874952).

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

894381048 is a wasteful number, since it uses less digits than its factorization.

894381048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 894381048 is about 29906.2041723787. The cubic root of 894381048 is about 963.4759150341.

The spelling of 894381048 in words is "eight hundred ninety-four million, three hundred eighty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 47 54 66 72 88 94 99 108 132 141 188 198 216 264 282 297 376 396 423 517 564 594 792 846 1034 1128 1188 1269 1551 1692 2068 2376 2538 3102 3384 4136 4653 5076 6204 8009 9306 10152 12408 13959 16018 18612 24027 27918 32036 37224 48054 55836 64072 72081 88099 96108 111672 144162 176198 192216 216243 264297 288324 352396 376423 432486 528594 576648 704792 752846 792891 864972 1057188 1129269 1505692 1585782 1729944 2114376 2258538 2378673 3011384 3171564 3387807 4140653 4517076 4757346 6343128 6775614 8281306 9034152 9514692 10163421 12421959 13551228 16562612 19029384 20326842 24843918 27102456 33125224 37265877 40653684 49687836 74531754 81307368 99375672 111797631 149063508 223595262 298127016 447190524 894381048