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94945890 = 23513261307
BaseRepresentation
bin1011010100011…
…00001001100010
320121122202021110
411222030021202
5143301232030
613231004150
72232012114
oct552141142
9217582243
1094945890
114965a286
1227969656
1316894200
14c8773b4
1585071b0
hex5a8c262

94945890 has 96 divisors (see below), whose sum is σ = 251608896. Its totient is φ = 22913280.

The previous prime is 94945883. The next prime is 94945897. The reversal of 94945890 is 9854949.

94945890 = T36 + T37 + ... + T828.

It is an interprime number because it is at equal distance from previous prime (94945883) and next prime (94945897).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (94945897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309117 + ... + 309423.

It is an arithmetic number, because the mean of its divisors is an integer number (2620926).

Almost surely, 294945890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94945890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125804448).

94945890 is an abundant number, since it is smaller than the sum of its proper divisors (156663006).

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

94945890 is a wasteful number, since it uses less digits than its factorization.

94945890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 94945890 is about 9744.0181650077. The cubic root of 94945890 is about 456.2036159764.

The spelling of 94945890 in words is "ninety-four million, nine hundred forty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 169 183 195 305 307 338 366 390 507 610 614 793 845 915 921 1014 1535 1586 1690 1830 1842 2379 2535 3070 3965 3991 4605 4758 5070 7930 7982 9210 10309 11895 11973 18727 19955 20618 23790 23946 30927 37454 39910 51545 51883 56181 59865 61854 93635 103090 103766 112362 119730 154635 155649 187270 243451 259415 280905 309270 311298 486902 518830 561810 730353 778245 1217255 1460706 1556490 2434510 3164863 3651765 6329726 7303530 9494589 15824315 18989178 31648630 47472945 94945890