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67157244 = 223272113461
BaseRepresentation
bin1000000000010…
…11110011111100
311200100221102100
410000023303330
5114143012434
610355225100
71443553500
oct400136374
9150327370
1067157244
11349aa260
121a5a8190
1310bb491b
148cc2300
155d68699
hex400bcfc

67157244 has 108 divisors (see below), whose sum is σ = 215488728. Its totient is φ = 17438400.

The previous prime is 67157231. The next prime is 67157261. The reversal of 67157244 is 44275176.

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

It is a junction number, because it is equal to n+sod(n) for n = 67157199 and 67157208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17674 + ... + 21134.

It is an arithmetic number, because the mean of its divisors is an integer number (1995266).

Almost surely, 267157244 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 67157244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107744364).

67157244 is an abundant number, since it is smaller than the sum of its proper divisors (148331484).

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

67157244 is a wasteful number, since it uses less digits than its factorization.

67157244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3484 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 67157244 is about 8194.9523488548. The cubic root of 67157244 is about 406.4723001418.

The spelling of 67157244 in words is "sixty-seven million, one hundred fifty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 3461 4851 6468 6922 9702 10383 13844 19404 20766 24227 31149 38071 41532 48454 62298 72681 76142 96908 114213 124596 145362 152284 169589 218043 228426 266497 290724 339178 342639 436086 456852 508767 532994 678356 685278 799491 872172 1017534 1065988 1370556 1526301 1598982 1865479 2035068 2398473 3052602 3197964 3730958 4796946 5596437 6105204 7461916 9593892 11192874 16789311 22385748 33578622 67157244