Search a number
-
+
78098904 = 23341373127
BaseRepresentation
bin1001010011110…
…11000111011000
312102221211120000
410221323013120
5124443131104
611425533000
71635554412
oct451730730
9172854500
1078098904
11400a2954
12221a4160
1313245c90
14a52d9b2
156cca639
hex4a7b1d8

78098904 has 160 divisors (see below), whose sum is σ = 240683520. Its totient is φ = 23514624.

The previous prime is 78098899. The next prime is 78098921. The reversal of 78098904 is 40989087.

It is a self number, because there is not a number n which added to its sum of digits gives 78098904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614889 + ... + 615015.

It is an arithmetic number, because the mean of its divisors is an integer number (1504272).

Almost surely, 278098904 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 78098904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120341760).

78098904 is an abundant number, since it is smaller than the sum of its proper divisors (162584616).

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

78098904 is a wasteful number, since it uses less digits than its factorization.

78098904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 78098904 is about 8837.3584288519. The cubic root of 78098904 is about 427.4463829340.

The spelling of 78098904 in words is "seventy-eight million, ninety-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 73 78 81 104 108 117 127 146 156 162 216 219 234 254 292 312 324 351 381 438 468 508 584 648 657 702 762 876 936 949 1016 1053 1143 1314 1404 1524 1651 1752 1898 1971 2106 2286 2628 2808 2847 3048 3302 3429 3796 3942 4212 4572 4953 5256 5694 5913 6604 6858 7592 7884 8424 8541 9144 9271 9906 10287 11388 11826 13208 13716 14859 15768 17082 18542 19812 20574 22776 23652 25623 27432 27813 29718 34164 37084 39624 41148 44577 47304 51246 55626 59436 68328 74168 76869 82296 83439 89154 102492 111252 118872 120523 133731 153738 166878 178308 204984 222504 241046 250317 267462 307476 333756 356616 361569 482092 500634 534924 614952 667512 723138 750951 964184 1001268 1069848 1084707 1446276 1501902 2002536 2169414 2892552 3003804 3254121 4338828 6007608 6508242 8677656 9762363 13016484 19524726 26032968 39049452 78098904