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95393040 = 24351912081
BaseRepresentation
bin1011010111110…
…01010100010000
320122111110122120
411223321110100
5143410034130
613244334240
72235553551
oct553712420
9218443576
1095393040
1149935226
1227b44380
13169bc8b2
14c952328
158594910
hex5af9510

95393040 has 80 divisors (see below), whose sum is σ = 297409536. Its totient is φ = 25292800.

The previous prime is 95393009. The next prime is 95393047. The reversal of 95393040 is 4039359.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 95392992 and 95393010.

It is not an unprimeable number, because it can be changed into a prime (95393047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44800 + ... + 46880.

Almost surely, 295393040 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 95393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148704768).

95393040 is an abundant number, since it is smaller than the sum of its proper divisors (202016496).

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

95393040 is a wasteful number, since it uses less digits than its factorization.

95393040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 95393040 is about 9766.9360599934. The cubic root of 95393040 is about 456.9186620161.

The spelling of 95393040 in words is "ninety-five million, three hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2081 2292 2865 3056 3820 4162 4584 5730 6243 7640 8324 9168 10405 11460 12486 15280 16648 20810 22920 24972 31215 33296 41620 45840 49944 62430 83240 99888 124860 166480 249720 397471 499440 794942 1192413 1589884 1987355 2384826 3179768 3974710 4769652 5962065 6359536 7949420 9539304 11924130 15898840 19078608 23848260 31797680 47696520 95393040