Search a number
-
+
94910928 = 24371914867
BaseRepresentation
bin1011010100000…
…11100111010000
320121120222022120
411222003213100
5143244122203
613230134240
72231505150
oct552034720
9217528276
1094910928
1149635a92
1227951380
1316881318
14c868760
1584ebb53
hex5a839d0

94910928 has 80 divisors (see below), whose sum is σ = 294981120. Its totient is φ = 25688448.

The previous prime is 94910917. The next prime is 94910929. The reversal of 94910928 is 82901949.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 94910928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94910929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (3687264).

Almost surely, 294910928 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 94910928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147490560).

94910928 is an abundant number, since it is smaller than the sum of its proper divisors (200070192).

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

94910928 is a wasteful number, since it uses less digits than its factorization.

94910928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14904 (or 14898 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 94910928 is about 9742.2239760745. The cubic root of 94910928 is about 456.1476130293.

The spelling of 94910928 in words is "ninety-four million, nine hundred ten thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 14867 29734 44601 59468 89202 104069 118936 178404 208138 237872 282473 312207 356808 416276 564946 624414 713616 832552 847419 1129892 1248828 1665104 1694838 1977311 2259784 2497656 3389676 3954622 4519568 4995312 5931933 6779352 7909244 11863866 13558704 15818488 23727732 31636976 47455464 94910928