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67674048 = 26313191427
BaseRepresentation
bin1000000100010…
…01111111000000
311201100012100020
410002021333000
5114311032143
610414253440
71451135301
oct402117700
9151305306
1067674048
1135222572
121a7b7280
1311035c20
148db87a8
155e1b883
hex4089fc0

67674048 has 112 divisors (see below), whose sum is σ = 203118720. Its totient is φ = 19713024.

The previous prime is 67674041. The next prime is 67674049. The reversal of 67674048 is 84047676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67674041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46711 + ... + 48137.

It is an arithmetic number, because the mean of its divisors is an integer number (1813560).

Almost surely, 267674048 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 67674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101559360).

67674048 is an abundant number, since it is smaller than the sum of its proper divisors (135444672).

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

67674048 is a wasteful number, since it uses less digits than its factorization.

67674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 67674048 is about 8226.4237673487. The cubic root of 67674048 is about 407.5122969177.

The spelling of 67674048 in words is "sixty-seven million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1427 1482 1824 1976 2496 2854 2964 3648 3952 4281 5708 5928 7904 8562 11416 11856 15808 17124 18551 22832 23712 27113 34248 37102 45664 47424 54226 55653 68496 74204 81339 91328 108452 111306 136992 148408 162678 216904 222612 273984 296816 325356 352469 433808 445224 593632 650712 704938 867616 890448 1057407 1187264 1301424 1409876 1735232 1780896 2114814 2602848 2819752 3561792 4229628 5205696 5639504 8459256 11279008 16918512 22558016 33837024 67674048