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4940676 = 2235131723
BaseRepresentation
bin10010110110001110000100
3100022000100000
4102312032010
52231100201
6253521300
756665206
oct22661604
910260300
104940676
112875004
1217a3230
13103caa0
14928776
15678d86
hex4b6384

4940676 has 144 divisors (see below), whose sum is σ = 15410304. Its totient is φ = 1368576.

The previous prime is 4940671. The next prime is 4940711. The reversal of 4940676 is 6760494.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4940676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4940671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214801 + ... + 214823.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

Almost surely, 24940676 is an apocalyptic number.

4940676 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4940676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152).

4940676 is an abundant number, since it is smaller than the sum of its proper divisors (10469628).

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

4940676 is a wasteful number, since it uses less digits than its factorization.

4940676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4940676 is about 2222.7631452766. The cubic root of 4940676 is about 170.3186181513.

The spelling of 4940676 in words is "four million, nine hundred forty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 23 26 27 34 36 39 46 51 52 54 68 69 78 81 92 102 108 117 138 153 156 162 204 207 221 234 243 276 299 306 324 351 391 414 442 459 468 486 598 612 621 663 702 782 828 884 897 918 972 1053 1173 1196 1242 1326 1377 1404 1564 1794 1836 1863 1989 2106 2346 2484 2652 2691 2754 3159 3519 3588 3726 3978 4131 4212 4692 5083 5382 5508 5589 5967 6318 7038 7452 7956 8073 8262 10166 10557 10764 11178 11934 12636 14076 15249 16146 16524 17901 20332 21114 22356 23868 24219 30498 31671 32292 35802 42228 45747 48438 53703 60996 63342 71604 72657 91494 95013 96876 107406 126684 137241 145314 182988 190026 214812 274482 290628 380052 411723 548964 823446 1235169 1646892 2470338 4940676