Search a number
-
+
95426920 = 23547193263
BaseRepresentation
bin1011011000000…
…01100101101000
320122120012010101
411230001211220
5143412130140
613245155144
72236054411
oct554014550
9218505111
1095426920
1149958726
1227b5bab4
1316a02144
14c960808
15859e99a
hex5b01968

95426920 has 64 divisors (see below), whose sum is σ = 221253120. Its totient is φ = 37023744.

The previous prime is 95426917. The next prime is 95426923. The reversal of 95426920 is 2962459.

It is an interprime number because it is at equal distance from previous prime (95426917) and next prime (95426923).

It is a self number, because there is not a number n which added to its sum of digits gives 95426920.

It is not an unprimeable number, because it can be changed into a prime (95426923) 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 15 ways as a sum of consecutive naturals, for example, 362709 + ... + 362971.

It is an arithmetic number, because the mean of its divisors is an integer number (3457080).

Almost surely, 295426920 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 95426920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110626560).

95426920 is an abundant number, since it is smaller than the sum of its proper divisors (125826200).

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

95426920 is a wasteful number, since it uses less digits than its factorization.

95426920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 95426920 is about 9768.6703291697. The cubic root of 95426920 is about 456.9727490226.

The spelling of 95426920 in words is "ninety-five million, four hundred twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 193 235 263 376 386 470 526 772 940 965 1052 1315 1544 1880 1930 2104 2630 3860 5260 7720 9071 10520 12361 18142 24722 36284 45355 49444 50759 61805 72568 90710 98888 101518 123610 181420 203036 247220 253795 362840 406072 494440 507590 1015180 2030360 2385673 4771346 9542692 11928365 19085384 23856730 47713460 95426920