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7052004 = 2232317189
BaseRepresentation
bin11010111001101011100100
3111021021112100
4122321223210
53301131004
6411052100
7113640531
oct32715344
914237470
107052004
113a87303
122441030
1315cbaab
14d17d88
15944739
hex6b9ae4

7052004 has 72 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 2217600.

The previous prime is 7051987. The next prime is 7052011. The reversal of 7052004 is 4002507.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 79192 + ... + 79280.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 27052004 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 7052004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

7052004 is an abundant number, since it is smaller than the sum of its proper divisors (11817756).

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

7052004 is a wasteful number, since it uses less digits than its factorization.

7052004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 7052004 is about 2655.5609576886. The cubic root of 7052004 is about 191.7656646316.

The spelling of 7052004 in words is "seven million, fifty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 89 93 124 142 178 186 213 267 279 284 356 372 426 534 558 639 801 852 1068 1116 1278 1602 2201 2556 2759 3204 4402 5518 6319 6603 8277 8804 11036 12638 13206 16554 18957 19809 24831 25276 26412 33108 37914 39618 49662 56871 75828 79236 99324 113742 195889 227484 391778 587667 783556 1175334 1763001 2350668 3526002 7052004