Search a number
-
+
94875872 = 25713311051
BaseRepresentation
bin1011010011110…
…11000011100000
320121112012020012
411221323003200
5143242011442
613225304052
72231301020
oct551730340
9217465205
1094875872
1149611713
1227935028
131686b390
14c859a80
1584e1582
hex5a7b0e0

94875872 has 96 divisors (see below), whose sum is σ = 237533184. Its totient is φ = 36288000.

The previous prime is 94875871. The next prime is 94875877. The reversal of 94875872 is 27857849.

It is a self number, because there is not a number n which added to its sum of digits gives 94875872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94875871) 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, 89747 + ... + 90797.

It is an arithmetic number, because the mean of its divisors is an integer number (2474304).

Almost surely, 294875872 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 94875872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118766592).

94875872 is an abundant number, since it is smaller than the sum of its proper divisors (142657312).

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

94875872 is a wasteful number, since it uses less digits than its factorization.

94875872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1104 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 94875872 is about 9740.4246314008. The cubic root of 94875872 is about 456.0914457006.

The spelling of 94875872 in words is "ninety-four million, eight hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 728 806 868 992 1051 1456 1612 1736 2102 2821 2912 3224 3472 4204 5642 6448 6944 7357 8408 11284 12896 13663 14714 16816 22568 27326 29428 32581 33632 45136 54652 58856 65162 90272 95641 109304 117712 130324 191282 218608 228067 235424 260648 382564 423553 437216 456134 521296 765128 847106 912268 1042592 1530256 1694212 1824536 2964871 3060512 3388424 3649072 5929742 6776848 7298144 11859484 13553696 23718968 47437936 94875872