Search a number
-
+
74978904 = 233711133121
BaseRepresentation
bin1000111100000…
…01011001011000
312020002022201110
410132001121120
5123143311104
611235020320
71600211250
oct436013130
9166068643
1074978904
1139361840
122113a6a0
13126c2b20
149d5a960
1568b0e89
hex4781658

74978904 has 128 divisors (see below), whose sum is σ = 251758080. Its totient is φ = 17971200.

The previous prime is 74978903. The next prime is 74978977. The reversal of 74978904 is 40987947.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74978903) 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 31 ways as a sum of consecutive naturals, for example, 22464 + ... + 25584.

It is an arithmetic number, because the mean of its divisors is an integer number (1966860).

Almost surely, 274978904 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 74978904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125879040).

74978904 is an abundant number, since it is smaller than the sum of its proper divisors (176779176).

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

74978904 is a wasteful number, since it uses less digits than its factorization.

74978904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 74978904 is about 8659.0359740562. The cubic root of 74978904 is about 421.6767888197.

The spelling of 74978904 in words is "seventy-four million, nine hundred seventy-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3121 3432 4004 6006 6242 8008 9363 12012 12484 18726 21847 24024 24968 34331 37452 40573 43694 65541 68662 74904 81146 87388 102993 121719 131082 137324 162292 174776 205986 240317 243438 262164 274648 284011 324584 411972 446303 480634 486876 524328 568022 720951 823944 852033 892606 961268 973752 1136044 1338909 1441902 1704066 1785212 1922536 2272088 2677818 2883804 3124121 3408132 3570424 5355636 5767608 6248242 6816264 9372363 10711272 12496484 18744726 24992968 37489452 74978904