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94838640 = 243513113269
BaseRepresentation
bin1011010011100…
…01111101110000
320121110022011020
411221301331300
5143234314030
613224415440
72231054331
oct551617560
9217408136
1094838640
1149596746
1227917580
1316857450
14c84a288
1584d5510
hex5a71f70

94838640 has 160 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 23052288.

The previous prime is 94838599. The next prime is 94838707. The reversal of 94838640 is 4683849.

It is a Smith number, since the sum of its digits (42) 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 = 94838592 and 94838601.

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, 352426 + ... + 352694.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 294838640 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 94838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

94838640 is an abundant number, since it is smaller than the sum of its proper divisors (225765840).

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

94838640 is a wasteful number, since it uses less digits than its factorization.

94838640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 94838640 is about 9738.5132335485. The cubic root of 94838640 is about 456.0317767945.

The spelling of 94838640 in words is "ninety-four million, eight hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 113 120 130 156 195 208 226 240 260 269 312 339 390 452 520 538 565 624 678 780 807 904 1040 1076 1130 1345 1356 1469 1560 1614 1695 1808 2152 2260 2690 2712 2938 3120 3228 3390 3497 4035 4304 4407 4520 5380 5424 5876 6456 6780 6994 7345 8070 8814 9040 10491 10760 11752 12912 13560 13988 14690 16140 17485 17628 20982 21520 22035 23504 27120 27976 29380 30397 32280 34970 35256 41964 44070 52455 55952 58760 60794 64560 69940 70512 83928 88140 91191 104910 117520 121588 139880 151985 167856 176280 182382 209820 243176 279760 303970 352560 364764 395161 419640 455955 486352 607940 729528 790322 839280 911910 1185483 1215880 1459056 1580644 1823820 1975805 2370966 2431760 3161288 3647640 3951610 4741932 5927415 6322576 7295280 7903220 9483864 11854830 15806440 18967728 23709660 31612880 47419320 94838640