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6672192 = 263193159
BaseRepresentation
bin11001011100111101000000
3110112222112020
4121130331000
53202002232
6355001440
7110466312
oct31347500
913488466
106672192
113847a0a
122299280
1314c7c57
14c597b2
158bbe2c
hex65cf40

6672192 has 112 divisors (see below), whose sum is σ = 19507200. Its totient is φ = 2004480.

The previous prime is 6672191. The next prime is 6672229. The reversal of 6672192 is 2912766.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6672191) 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 15 ways as a sum of consecutive naturals, for example, 113059 + ... + 113117.

Almost surely, 26672192 is an apocalyptic number.

6672192 is a gapful number since it is divisible by the number (62) 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 6672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753600).

6672192 is an abundant number, since it is smaller than the sum of its proper divisors (12835008).

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

6672192 is a wasteful number, since it uses less digits than its factorization.

6672192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 6672192 is about 2583.0586520635. The cubic root of 6672192 is about 188.2591867956.

The spelling of 6672192 in words is "six million, six hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 59 62 64 76 93 96 114 118 124 152 177 186 192 228 236 248 304 354 372 456 472 496 589 608 708 744 912 944 992 1121 1178 1216 1416 1488 1767 1824 1829 1888 1984 2242 2356 2832 2976 3363 3534 3648 3658 3776 4484 4712 5487 5664 5952 6726 7068 7316 8968 9424 10974 11328 13452 14136 14632 17936 18848 21948 26904 28272 29264 34751 35872 37696 43896 53808 56544 58528 69502 71744 87792 104253 107616 113088 117056 139004 175584 208506 215232 278008 351168 417012 556016 834024 1112032 1668048 2224064 3336096 6672192